Question

Write the discriminant of the quadratic equation (x + 5)² = 2 (5x − 3).

Answer 1

Given the quadratic equation is (x + 5)² = 2 (5x − 3).

⇒ x² +25 +10x =10x -6

⇒ x² + 31 = 0

⇒ x² +0x +31 = 0

So, the discriminant will be

D =b² -4ac

= 0² - 4 × 1 × 31= -124