if (x+2)²-9=16, then find the value of x.
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Answer :-
(x + 2)² - 9 = 16
=> (x + 2)² = 16 + 9
=> x² + 4 + 4x = 25
=> x² + 4x - 21 = 0
=> x² + 7x - 3x - 21 = 0
=> x(x + 7) - 3(x + 7) = 0
=> (x -3)(x +7) = 0
So,
x - 3 = 0. or. x+ 7 = 0
x = 3. or. x = -7
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