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
Nady [450]
1 year ago
11

Use the discriminant to describe the roots of

Mathematics
1 answer:
balu736 [363]1 year ago
3 0

The quadratic equation x² - 5x - 4 = 0 has two real roots as 41 > 0.

<h3>What is a quadratic equation?</h3>

A quadratic equation is an algebraic equation of degree two.

We know in a quadratic equation ax² + bx + c = 0, The discriminant D is        b² - 4ac.

If D > 0 the quadratic equation has two real roots.

If D = 0 the quadratic equation has one real root.

If D < 0 the quadratic equation has no real roots.

∴ In x² - 5x - 4 = 0,

Discriminant D is b² - 4ac.

= (-5)² - 4.1.(-4).

= 25 + 16.

= 41.

∴ D > 0 and the quadratic equation has two real roots.

learn more about discriminant here :

brainly.com/question/15884086

#SPJ1

You might be interested in
On Novenber 4, your bank statement shows a balance of $2,253.18. Your checkbook shows a balance of $2,324.34. If there are outst
ivann1987 [24]

Answer:

The final answer is "$2387.85 and $2594.85".

Step-by-step explanation:

Given values:

The bank statement balance= $2,253.18

The checkbook balance = $2,324.34

outstanding check amounts= $105.50 and $158.10

transit amount= $605.27

account earnin(credits)= $68.51

service charge= $5.00

Adjusted Checkbook Balance =?

Adjusted  Statement Balance=?

Adjusted the Checkbook Balance:

checkbook balance = $2,324.34

\text{total checkbook balance = checkbook balance+ credits}\\

                                      = \$ 2,324.34+ \$ 68.51\\\\= \$ 2392.85

\text{ Adjust check book balance= total checkbook balance - servicec  charge}

                                         = \$2392.85 - \$5.00\\\\= \$ 2387.85

Adjusted the Statement Balance:

bank statement balance= $2,253.18

\text{total Statement balance = bank  Statement balance+  transit amount}\\

                                      = \$ 2,253.18+ \$ 605.27\\\\= $ 2,858.45

\text{outstanding check amounts = $105.50+ $158.10}

                                           = \$263.60

\text{ Adjust statement  balance= total statement balance - outstanding check amount }                                        = \$ 2,858.45 -  \$263.60\\\\= $ 2,594.85

8 0
3 years ago
Solve for x <br> x^2 - 2x - 35 = 0x
olga_2 [115]

Answer:

 x = 7

 x = -5

Step-by-step explanation:

Given

x² - 2x - 35 = 0

Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

The factors are - 7 and + 5, since

- 7 × 5 = - 35 and - 7 + 5 = - 2, thus

(x - 7)(x + 5) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 7 = 0 ⇒ x = 7

4 0
3 years ago
Find b given that p(b,2) is equidistant from a(5,4) and b(2,5)
Oksana_A [137]
Hello : 
PA = PB  or  PA² = PB²
(5-b)²+(4-2)² = (2-b)² + (5-2)²
(5-b)²+4 = (2-b)² + 9
25 -10b +b² + 4  =  4 -4b+b² +9
-6b = -16 
b = 8/3

5 0
3 years ago
An animator draws 120 cels to make a 5 seconds of a 12-second sequence of a film. How many more cels does she need to draw to co
s344n2d4d5 [400]

Answer:

She needs 168 more cels to draw to complete the film sequence

Step-by-step explanation:

120 Cells in 5 seconds

You want 12 seconds.

Ratio (Proportion)

120:5

Lets find the "unit rate" of the proportion.

120/5 = 24

So the unit ratio is 24:1

Now, we can deduce to it being:

120:5

240:10

264:11

288:12

She has 120 done.

So, 288-120 = 168.

She needs 168 more cels to draw to complete the film sequence

4 0
2 years ago
Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
harina [27]

The equation of line is:

y=-\frac{1}{2}x+6

Further explanation:

Given

y = 2x + 2

Comparing it with standard form:

y=mx+b

Let m1 be the slope of given line

m_1=2

We know that product of slopes of two perpendicular lines is -1

Let m2 be the slope of second line

m_1.m_2=-1\\2*m_2= -1\\m_2 = -\frac{1}{2}

Putting the value of m2 in standard form

y=-\frac{1}{2}x+b

To find the value of b, putting (6,3) in equation

3=-\frac{1}{2}(6)+b\\3=-3+b\\3+3=b\\b=6

Putting the values of b and m, we get

y=-\frac{1}{2}x+6

The equation of line is:

y=-\frac{1}{2}x+6

Keywords: Slope, Point-slope form

Learn more about slope at:

  • brainly.com/question/2688526
  • brainly.com/question/2920401

#learnwithBrainly

4 0
3 years ago
Read 2 more answers
Other questions:
  • Put in order from least to greatest: quart, pint, gallon, liter, cup
    13·1 answer
  • H=-16t^2+46t+6 after how many seconds will the ball hit the ground?
    14·1 answer
  • Determine the fraction of total interest owed using the rule of 78.
    5·1 answer
  • Is 7/8 greater than or less than 2/5
    9·1 answer
  • Could you please help me? -0.7-(-2.5)=
    10·1 answer
  • If John has 10 doughnuts and he gives 5 to Sammy how many does John have left of doughnuts
    14·1 answer
  • Which of the tables represents a function? (5 points)
    15·1 answer
  • I need help which is it?
    9·1 answer
  • Item 1
    13·2 answers
  • The Boy scouts spent 10/12 hour doing their daily exercises. They only used 1/4 hour in hiking in. How much time did they use fo
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!