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
Vladimir79 [104]
3 years ago
13

Solve the quadratic equation: 3x2 − 2x − 8 = 0

Mathematics
2 answers:
astra-53 [7]3 years ago
8 0
Solutions 

Factor <span>3x</span>²<span><span>−2x−8</span><span>

</span></span>1. Multiply 3 by -8, which is -24.

2. Ask: Which two numbers add up to -2 and multiply to -24?

3. Answer: 4 and -6

4. Rewrite <span>−2x </span>as the sum of <span>4x </span>and <span>−6x</span>: 

3x^2+4x-6x-8=0<span>

</span><span>Factor out common terms in the first two terms, then in the last two terms 
</span>
x(3x+4)-2(3x+4)=0&#10;&#10; &#10; 

 Factor out the common term <span>3x+4 

</span>(3x+4)(x-2)=0 

Solve for <span>x

</span>1. Ask: When will <span>(3x+4)(x−2) </span>equal zero?

2. Answer: When <span>3x+4=0 </span>or <span>x−2=0.</span>

3. Solve each of the 2 equations above: 

x = −<span>4 / 3</span>,<span>2</span>

Liula [17]3 years ago
7 0
3x^2-2x-8=0\\&#10;3x^2-6x+4x-8=0\\&#10;3x(x2)+4(x-2)=0\\&#10;(3x+4)(x-2)=0\\&#10;x=-\dfrac{4}{3} \vee x=2
You might be interested in
Please answer soon!! Thank you!!
Kipish [7]
A (-12,-8), B(6,-3), C(3,3)
4 0
2 years ago
Mrs. JOHNSON paid $40.68 for 3kg of shrimp. What’s the cost of 1 kilogram of shrimp?
Goshia [24]

Answer:

It is 13.56

Step-by-step explanation:

You would have to divide 40.68 by 3. 3 goes 1 time into 4 so it is 10.

4 0
3 years ago
Read 2 more answers
Quadrilateral ABCD is inscribed in the circle. If m∠A = 95°, what also must be true?
makvit [3.9K]
Opposite angles in a cyclic quadrilateral add up to 180 degrees .
So the angle opposite angle A ( that is angle C) must be 180-95 = 85 degrees
7 0
3 years ago
In the diagram, the radius of the outer circle is
JulijaS [17]

the value of x is 8 cm.

<u>Step-by-step explanation:</u>

Correct Question : In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 220π cm2. What is the value of x? Enter your answer in the box.

We have ,

the area of a circle =  πr²

the outer circle area = \pi(2x)^2 =4\pi x^2

the inside circle area = \pi (6)^2= 36\pi

According to Question,

the outer circle area - the inside circle area = he shaded region

⇒ \pi (4x^2)-36\pi =220\pi

⇒ x^2-9 =55

⇒ x^2=64

⇒x =\sqrt{64}=8

Therefore , the value of x is 8 cm.

5 0
2 years ago
Ethan is responsible to write the minutes for the meeting. During the meeting, he finished writing of the minutes. Before gettin
dolphi86 [110]
11/24
1. 3/8 = 9/24
2. 1/6 = 4/24
3. 9/24 + 4/24 = 13/24
4. 1- 13/24 = 11/24

And that’s if! Hoped this helped :)
These are all the correct steps to get the answer to this problem
7 0
2 years ago
Other questions:
  • Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between the two brands shown. Explain how Jacob can de
    13·2 answers
  • Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and StartFraction 9 over 10 EndFra
    14·2 answers
  • Which pair is a base and corresponding height for the triangle?
    6·1 answer
  • If cot theta = 2/3, what is the value of csc theta?
    14·2 answers
  • Two measurements on a graph meet at a ____
    14·1 answer
  • Find (f-g)(x) if f(x)=3x-5 and g(x)=x2-5x+4
    10·1 answer
  • 85<br>What number goes where the<br>question mark is? ​
    10·1 answer
  • what is the equation written in vertex form of a parobla with a vertex of (-1,8) that passes through (1,0)? please help asap
    6·1 answer
  • (y-x)(y+x) equals to<br>​
    13·1 answer
  • What is 10 x 10 to the power 8
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!