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Solve the following quadratic equation for all values of x in simplest form.
3(x - 7) ^(2) + 34 = 46

1 Answer

3 votes

Given


3(x-7)^2+34=46

Procedure


\begin{gathered} 3(x^2-14x+49)+34=46 \\ 3x^2-42x+149+34-46=0 \\ 3x^2-42x+135 \end{gathered}

Solving


\begin{gathered} x^2-14x+45 \\ (x-5)(x-9) \end{gathered}

x = 5

x = 9

User ThantiK
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