Question 698954
Solve (x-3)^2=25 by using the Quadratic Formula. Step by step answers.


{{{(x - 3)^2 = 25}}}


{{{x^2 - 6x + 9 = 25}}} ----- {{{x^2 - 6x - 16 = 0}}}


Using the quadratic equation, a = 1; b = - 6; c = - 16.


When solved, you should get: x = 8, or - 2, as seen from the shortcut below.


{{{sqrt((x - 3)^2) = _+-sqrt(25)}}} ----- Taking the square root of both sides


x - 3 = ± 5


x - 3 = 5 ----- x = 5 + 3, or {{{highlight_green(x = 8)}}}


OR


x - 3 = - 5 ---- x = - 5 + 3, or {{{highlight_green(x = - 2)}}}


You can do the check!!


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