solve the following quadratic equation
X^2 + 20x - 1125 = 0
by method of completing the square
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Answer:
x²+20x-1125 =0
x²+ 2 × 10×x -1125 = 0
we know that
(a+b)² = a² + 2ab +b²
x²+ 2 × 10×x + 10² -10² -1125 = 0
(x+10)² -10²-1125 = 0
(x+10)² = 10²+1125
(x+10)² = 100+1125
(x+10)² = 1225
(x+10) = √1225
x+10 = ±35
x = ±35 - 10
x= + 35 -10 = 25
and x = -35 -10 = -45
Step-by-step explanation:
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