Question

State whether the quadratic equation √2x² – 3x/√2 + ½ = 0 have two distinct real roots. Justify your answer.

Answer 1

The equation √2x² – 3x/√2 + ½ = 0 has two real and distinct roots.

D = b² – 4ac

= (- 3/√2)² – 4(√2) (½)

= (9/2) – 2√2 > 0

Hence, the roots are real and distinct.