Question

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

Answer 2

Given, :
$x^{2}-2 \sqrt{3} x-22=0$
$D=b^{2}-4 a c=12+4 \times 22=100>0$
$\therefore$ Roots are irrational, real and unequal.
So, the correct option is (C) : real, irrational and unequal.