Question

The roots of the equation 2x² – 6x + 3 = 0 are ______.

विकल्प

• real, unequal and rational

• real, unequal and irrational

• real and equal

• imaginary

Answer 1

The roots of the equation 2x² – 6x + 3 = 0 are real, unequal and irrational.

Explanation:

∵ D = (b² – 4ac) 

= (–6)² – 4 × 2 × 3 

= 36 – 24 

= 12 

12 is greater than 0 and it is not a perfect square; therefore, the roots of the equation are real, unequal and irrational.