x^2-2x-22499 factorisation
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5
Answer:
(x - 151)(x - 149)
Explanation:
I'll be factoring it by completing the square method.
x² - 2x - 22499 = 0
x² - 2x(1) = 22499
Adding 1 on both sides,
x² - 2(x)(1) + 1² = 22500
Compare this to the identity : a² - 2ab + b² = (a+b)²
So,
(x + 1)² = 22500
x + 1 = ±√22500 = ±150
x = ±150 - 1
So two values of x are : x = 151 & x = 149
Therefore, x² - 2x - 22499 = (x - 151)(x - 149) = 0
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I think this is the answer
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