SOLUTION: Please help me solve this equation. –9(x – 3)^2 = –7

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Question 103581This question is from textbook algebra
: Please help me solve this equation. –9(x – 3)^2 = –7 This question is from textbook algebra

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
–9(x – 3)^2 = –7
-9(x^2-6x+9)=-7 square what is in the parenthesis 1st.
-9x^2+54x-81=-7
-9x^2+54x-74=0
9x^2-54+74=0 multiply both sides times -1.
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=252 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3.8819171036882, 2.1180828963118. Here's your graph:


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