Question

Solve the following equation by the method of completting square : 2x2

+ 4x – 8 = 0.​

Answer 1

Answer:

given 2x^2 + 4x - 8 = 0

to find the value of x using completing the square method

=> 2x^2 + 4x = 8

=> x^2 + 4x/2 = 8/2

=> x^2 + 2x = 4

=> x^2 + 2x + 1^2 = 4 + 1^2

=> x^2 + 2x + 1 = 4+1

=> x^2 +2x + 1 = 5

=> (x + 1)^2 = 5

=> x+1 = +√5 and -√5

=> x = +√5 - 1 and x = -√5 - 1