Question

Which of the following quadratic equations has real and equal roots? 

विकल्प

• (x + 1)² = 2x + 1

• x² + x = 0

• x² − 4 = 0

• x² + x + 1 = 0

Answer 1

(x + 1)² = 2x + 1

Explanation:

Given (x + 1)² = 2x + 1

x² + 2x + 1 = 2x + 1

x²+ 0 × x + 0 = 0

a = 1, b = 0, c = 0

Discriminant (D) = b² − 4ac

= (0)² − 4 × 1 × 0

= 0

So, roots are real and equal.