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
likoan [24]
2 years ago
8

Find the roots. 3x2 - 5x+ 2 =0

Mathematics
1 answer:
tigry1 [53]2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Given

3x² - 5x + 2 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × 2 = 6 and sum = - 5

The factors are - 3 and - 2

Use these factors to split the x- term

3x² - 3x - 2x + 2 = 0 ( factor the first/second and third/fourth terms )

3x(x - 1) - 2(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(3x - 2) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \frac{2}{3}

Roots are x = 1, x = \frac{2}{3}

You might be interested in
write a systems of equation where one equation has a slope of 2 and goes through the point 0, 2 and the second equation is paral
AleksandrR [38]

Answer:

go up the hill and roll down then you willf igure it out

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The difference between the roots of the quadratic equation x^2−14x+q=0 is 6. Find q.
pychu [463]

Answer :

The value of q for, the given quadratic equation is 40

Step-by-step explanation :

Given quadratic equation as :

x² - 14 x + q = 0

And  , Difference between the roots of equation is 6

Let A , B be the roots of the equation

So, A - B = 6

The roots of the quadratic equation  ax² + bx + c = 0 as can be find as :

x = \frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}

x = \frac{14\pm \sqrt{(-14)^{2}-4\times 1\times q}}{2\times 1}

or, x = \frac{-14\pm \sqrt{196-4 q}}{2}

Or, x = \frac{-14\pm \sqrt{196-4 q}}{2}

So , The roots are

A = -7 + \frac{\sqrt{196-4q}}{2}

And B = -7 - \frac{\sqrt{196-4q}}{2}

∵ The difference between the roots is 6

So, A - B = 6

Or, ( -7 + \frac{\sqrt{196-4q}}{2} ) - (  -7 - \frac{\sqrt{196-4q}}{2} ) = 6

Or, ( - 7 + 7 ) + 2 ( \sqrt{196-4q} = 6

Or, 0 + 2 ( \sqrt{196-4q} = 6

∴ 196 - 4 q = 36

or, 4 q = 196 - 36

or 4 q = 160

∴ q = \frac{160}{4}

I.e q = 40

S0, The value of q = 40

Hence The value of q for, the given quadratic equation is 40 . Answer

8 0
2 years ago
If z is the circumcenter of stu, sy = 19, tz = 21, and st = 30 , find each measure.
skelet666 [1.2K]
Sz=21 yu=19 wt=15 zy=4√5
7 0
2 years ago
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Rudiy27

Answer:

x₁ = x₂ (corresponding angles are equal)

y₁ = y₂ (right angles)

z₁ = z₂

Since the angles in the first triangle are equal to the angles in the second triangle, the two triangles are similar.

Because they are similar, then the ratios of their corresponding sides are  equal:

\\\\\frac{9}{h} =\frac{11}{16}

h = 9×16/11 = 144/11 = 13 1/11 = 13.09

3 0
1 year ago
Thomas has $10 to spend on lunch he decides to buy some chicken sandwiches which cost $2.75 each and one container of orange jui
dem82 [27]

Answer:

3

Step-by-step explanation:

10-1.50 is 8.5 and divide that by the cost

3 0
3 years ago
Other questions:
  • Camryn practices the trumpet every 11th day and the flute every 3rd day. Camryn practiced both today. How many days until Camryn
    7·1 answer
  • Two poles of lengths 10 ft and 15 ft are set up vertically with their bases on horizontal ground 12 ft apart. Find the distance
    14·2 answers
  • Table 1<br> Table 2<br> Table 3<br> Table 4. Please help fast
    5·1 answer
  • Please help me find the area of the polygon
    14·2 answers
  • The graph of f(x) = 6(0.25)x and its reflection across the y-axis, g(x), are shown.
    10·2 answers
  • What is the answer to the problem above in the picture
    5·1 answer
  • How much is (2^2)&lt;&lt;1
    5·1 answer
  • Lydia received her salary on Friday. She spent one-half of her salary on rent and then spent $168 on her electric and water bill
    10·1 answer
  • Francas leaves home to go to the arcade and walks 300 m at a constant speed for 15 minutes. Francas sees a swarm of bees and run
    15·1 answer
  • The sum of two numbers is 97. One of the number exceeds the other by 11. Find the numbers.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!