Question

solve the following quadratic equation
X^2 + 20x - 1125 = 0
by method of completing the square​

Answer 1

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: