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3 years ago

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

2 answers:

8 0

Solutions

Factor 3x²−2x−8

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 −2x as the sum of 4x and −6x:

$3x^2+4x-6x-8=0$ 

Factor out common terms in the first two terms, then in the last two terms

$x(3x+4)-2(3x+4)=0

 
$

Factor out the common term 3x+4

 $(3x+4)(x-2)=0$

Solve for x

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

2. Answer: When 3x+4=0 or x−2=0.

3. Solve each of the 2 equations above:

x = −4 / 3,2

Liula [17]3 years ago

7 0

$3x^2-2x-8=0\\
3x^2-6x+4x-8=0\\
3x(x2)+4(x-2)=0\\
(3x+4)(x-2)=0\\
x=-\dfrac{4}{3} \vee x=2$

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