Question

The roots of the quadratic equation $x^2-2\sqrt{3x}-22=0$ are

• A. Imaginary
• B. Real, rational and equal
• C. Real, irrational and unequal
• D. Real, rational and unequal

Answer 1

Answer: (C)

Real, irrational and unequal

Given, $x^2-2\sqrt{3}x-22=0$
$D=b^2-4ac=12+4\times 22=100>0$
$\therefore$ Roots are irrational, real and unequal.