Mathematics
Solve the following equation:
(x - 4)2 + 52 = 132
Quadratic Equations
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Answer
Given, (x - 4)2 + 52 = 132.
⇒ x2 + 16 - 8x + 25 = 169
⇒ x2 - 8x + 41 - 169 = 0
⇒ x2 - 8x - 128 = 0
⇒ x2 - 16x + 8x - 128 = 0
⇒ x(x - 16) + 8(x - 16) = 0
⇒ (x + 8)(x - 16) = 0
⇒ x + 8 = 0 or x - 16 = 0
⇒ x = -8 or x = 16.
Hence, roots of the given equations are -8, 16.
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