Question

Use substitution to write an equivalent quadratic equation
(3x + 2) ^2 + 7(3x+2) - 8= 0

Answer 1

Answer Explanation:

Let z = 3x +2. Then the equivalent quadratic equation can be written as

z² +7z -8 = 0

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This can be factored as

(z -1)(z +8) = 0

which has solutions

z = {1, -8}.

Then the corresponding values of x are found from

z = 3x +2

z -2 = 3x

(z -2)/3 = x

For z = 1,

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

For z = -8

(-8 -2)/3 = x = -10/3

Answer 2

Answer:u^2+7u-8=0 where u=3x=2

Explanation:

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