43.1k views
2 votes
Use substitution to write an equivalent quadratic equation.

(3x + 2)2 + 7(3x + 2) - 8 = 0
DONE

User RussAbbott
by
8.0k points

1 Answer

4 votes

Answer:

z^2 +7z -8 = 0

Explanation:

Let z = 3x+2. Then we can substitute z wherever we see 3x+2.

z^2 +7z -8 = 0 . . . . equivalent quadratic

__

This is easily factored to ...

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

So, the original quadratic has solutions ...

(3x +2) -1 = 0

x = -1/3

and

(3x +2) +8 = 0

x = -10/3

User Michael Mason
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories