Question

Solve for x:

Give steps also

Answer 1

(a+b)² x² + 8 (a² - b²) x + 16 (a- b)² = 0

Discrim:    8² (a² - b²)² - 4*(a+b)² *16 (a - b)²
                64 [ (a² - b²)² - (a² - b²)² ]  = 0

x = - 8(a² - b²) / 2(a+b)²  =   - 4(a-b)/(a+b)    assuming a + b ≠ 0.