Question

Use substitution to write an equivalent quadratic equation.

Answer 1

Answer:

  z^2 +7z -8 = 0

Step-by-step explanation:

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

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

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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