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Tractice writing as a qua

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

2 Answers

3 votes

Answer:

The answer would be the second option on the drop down menu.

Explanation:

Did the assignment

User Yaccob
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3.9k points
7 votes

Answer:

  • z = 3x+2
  • z^2 +7z -8 = 0

Explanation:

Define ...

z = 3x+2

Substitute for that expression in the given quadratic:

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

_____

This equation is easily solved by factoring:

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

z = -8 or +1

Then x can be found from z:

(z -2)/3 = x

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

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

User Sambua
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4.8k points