Question

Solve the following quadratic equations by factorization:
1/2a+b+2x=(1/2a)+1/b+1/2x​

Answer 1

Answer:

1/(2a+b+2x) - 1 / (2x) = 1 / 2a + 1 / b (2x - 2a - b - 2x) / (2x)(2a+b+2x) = (2a + b) / 2ab -(2a + b) / (2x)(2a+b+2x) = (2a + b) / 2ab 2a + b gets cancelled. -2ab = (2x)(2a+b+2x) -2ab = 4ax + 2bx + 4x2 4x2 + 2bx + 4ax + 2ab = 0 2x(2x + b) + 2a(2x + b) = 0 (2x +2a)(2x + b) = 0 2x + 2a = 0 x = - a 2x + b = 0 x = - b / 2

So, x = -a , -b/