1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xxMikexx [17]
2 years ago
11

Find the value of the discriminant for all the equations. 1.5q2 +2q–3=0 2.3u2 -4u+1=0 3.7s2 +9s–4=0 4.6w2 –8w+5=0 5.5p2 +7p–3=0

6.9f2 -5f+2=0 7.2n2 +6n–4=0 8.3d2 -3d+4=0 9.9v2 +4v–7=0 10.4c2 +8c–5=0
Mathematics
2 answers:
kicyunya [14]2 years ago
6 0

Answer:

Case 1: a = 1.5, b = 2, c = -3

D = 22

Case 2: a = 2.3, b = -4, c = 1

D = 6.8

Case 3: a = 3.7, b = 9, c = -4

D = 140.2

Case 4: a = 4.6, b = -8, c = 5

D = -28

Case 5: a = 5.5, b = 7, c = -3

D = 115

Case 6: a = 6.9, b = -5, c = 2

D = -30.2

Case 7: a = 7.2, b = 6, c = -4

D = 151.2

Case 8: a = 8.3, b = -3, c = 4

D = -123.8

Case 9: a = 9.9, b = 4, c = -7

D = 293.2

Case 10: a = 10.4, b = 8, c = -5

D = 272

Step-by-step explanation:

For all second order polynomial, the discriminant is equal to:

D = b^{2}-4\cdot a \cdot c

Case 1: a = 1.5, b = 2, c = -3

D = 22

Case 2: a = 2.3, b = -4, c = 1

D = 6.8

Case 3: a = 3.7, b = 9, c = -4

D = 140.2

Case 4: a = 4.6, b = -8, c = 5

D = -28

Case 5: a = 5.5, b = 7, c = -3

D = 115

Case 6: a = 6.9, b = -5, c = 2

D = -30.2

Case 7: a = 7.2, b = 6, c = -4

D = 151.2

Case 8: a = 8.3, b = -3, c = 4

D = -123.8

Case 9: a = 9.9, b = 4, c = -7

D = 293.2

Case 10: a = 10.4, b = 8, c = -5

D = 272

densk [106]2 years ago
5 0

The question is:

Find the value of the discriminant for all the following equations:

1. 5q² + 2q - 3 = 0

2. 3u² - 4u + 1 = 0

3. 7s² + 9s - 4 = 0

4. 6w² - 8w + 5 = 0

5. 5p² + 7p - 3 = 0

6. 9f² - 5f + 2 = 0

7. 2n² + 6n - 4 = 0

8. 3d² - 3d + 4 = 0

9. 9v² + 4v - 7 = 0

10. 4c² + 8c - 5 = 0

Answer:

1. 5q² + 2q - 3 = 0

Discriminant is 64

2. 3u² - 4u + 1 = 0

Discriminant is 4

3. 7s² + 9s - 4 = 0

Discriminant is 193

4. 6w² - 8w + 5 = 0

Discriminant is -56

5. 5p² + 7p - 3 = 0

Discriminant is 109

6. 9f² - 5f + 2 = 0

Discriminant is -47

7. 2n² + 6n - 4 = 0

Discriminant is 68

8. 3d² - 3d + 4 = 0

Discriminant is -39

9. 9v² + 4v - 7 = 0

Discriminant is 268

10. 4c² + 8c - 5 = 0

Discriminant is 144.

Step-by-step explanation:

The quadratic equation

ax² + bx + c = 0

can be solved using the quadratic formula

x = [-b ± √(b² - 4ac)]/2a

Here,

b² - 4ac

is called the discriminant

Let D = b² - 4ac

We want to find the discriminant of the following:

1. 5q² + 2q - 3 = 0

a = 5, b = 2, c = -3

D = 2² - 4(5)(-3)

= 4 + 60

= 64

Discriminant is 64

2. 3u² - 4u + 1 = 0

a = 3, b = -4, c = 1

D = (-4)² - 4(3)(1)

= 16 - 12

= 4

Discriminant is 4

3. 7s² + 9s - 4 = 0

a = 7, b = 9, c = -4

D = 9² - 4(7)(-4)

= 81 + 112

= 193

Discriminant is 193

4. 6w² - 8w + 5 = 0

a = 6, b = -8, c = 5

D = (-8)² - 4(6)(5)

= 64 - 120

= -56

Discriminant is -56

5. 5p² + 7p - 3 = 0

a = 5, b = 7, c = -3

D = 7² - 4(5)(-3)

= 49 + 60

= 109

Discriminant is 109

6. 9f² - 5f + 2 = 0

a = 9, b = -5, c = 2

D = (-5)² - 4(9)(2)

= 25 - 72

= -47

Discriminant is -47

7. 2n² + 6n - 4 = 0

a = 2, b = 6, c = -4

D = 6² - 4(2)(-4)

= 36 + 32

= 68

Discriminant is 68

8. 3d² - 3d + 4 = 0

a = 3, b = -3, c = 4

D = (-3)² - 4(3)(4)

= 9 - 48

= -39

Discriminant is -39

9. 9v² + 4v - 7 = 0

a = 9, b = 4, c = -7

D = 4² - 4(9)(-7)

= 16 + 252

268

Discriminant is 268

10. 4c² + 8c - 5 = 0

a = 4, b = 8, c = -5

D = 8² - 4(4)(-5)

= 64 + 80

= 144

Discriminant is 144.

You might be interested in
What is 27.08361513 rounded to the nearest tenth?
Wittaler [7]

Answer:

27.1

Step-by-step explanation:

Rounding off to the nearest tenths = the value should be written correctly to <u>one</u> decimal place. The tenth place value in a decimal number is the first number which comes first after the decimal point. For this, we need to observe the hundredth number (the number which comes second after the decimal point). If this number is greater than or equal to 5, we add 1 to the tenth value. If it is less than 5, we leave the tenth place value as it is, and remove all the numbers present after this number.

6 0
2 years ago
What is the next letter cd hi mn RS
nlexa [21]
Next letters would be WX
3 0
2 years ago
The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle
Gekata [30.6K]

Answer:

t = 42857.14 h

Step-by-step explanation:

Given that,

The speed of space shuttle, v = 28000 km/h

We know that, the distance between the Saturn and the Earth is 1,200,000,000 km.

Let t be the time.

As we know, speed = distance/time

So,

t=\dfrac{d}{v}\\\\t=\dfrac{1,200,000,000}{28000}\\\\t=42857.14\ h

So, the required time is equal to 42857.14 hours.

6 0
2 years ago
Analyze the diagram. What is the composition of transformations that was applied to map WXYZ to W''X''Y''Z''? The first transfor
Zigmanuir [339]

Answer:

The first transformation was a rotation rotation about point A

The second transformation was a reflection across line M

3 0
3 years ago
Read 2 more answers
Rasputen and his three buddies are splitting a giant 18 inch cookie. But notice 1/4 of it is missing. If each person gets the sa
frozen [14]

Answer:

Each of them will get 3.375 inches of cookie.

Step-by-step explanation:

Rasputen and his three buddies are splitting a giant 18 inches cookie.

But they notice that \frac{1}{4}th of it is missing.

So, the actual length of the cookie is 18[1-\frac{1}{4} ]=18 \times \frac{3}{4}=13.5 inches.

If all the four of them get the same amount of the giant cookie then each of them will get \frac{13.5}{4} = 3.375 inches of cookie. (Answer)

8 0
3 years ago
Other questions:
  • WhichGiven that f(x) = x² + 5x, evaluate f(-2). of the following is equal to ?
    13·1 answer
  • Which of the following is not a prime number 157,1057,3163 or 263
    7·1 answer
  • A road crew must repave a road that is 2/5 miles long.They can repave 1/30 miles each hour. How long will it take the crew to re
    15·1 answer
  • Can anyone teach me how to solve this?
    12·1 answer
  • Checking granddaughter homework not very good with math
    11·1 answer
  • Write an equation of the line below.
    15·1 answer
  • Mikeply o binomial by a trinomial<br>(x-1) (x²+x+1)​
    10·2 answers
  • Help I’ll give Brainly est
    10·2 answers
  • Please help me!<br> [One Step Inequalities]
    13·1 answer
  • Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!