Q10 of 47 Page 1

Solve for x:

The equation can be rewritten as



Squaring both side


2x + 9 = (13 - x)2


2x + 9 = 169 + x2 - 26x


x2 - 28x + 160


x2 - 20x - 8x + 160 = 0


x(x - 20) - 8(x - 20) = 0


(x - 8)(x - 20) = 0


x = 8 or x = 20


But x = 20 is not possible because it does not satisfy the original equation.



So, x = 8


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