The roots of the quadratic equation x2-2√3x-22 = 0 are :

Question

The roots of the quadratic equation x2-2√3x-22 = 0 are : (A) imaginary (B) real, rational and equal (C) real, irrational and unequal (D) real, rational and unequal

Tardigrade Admin · Accepted Answer

Given, x2-2 √3 x-22=0 D=b2-4 a c=12+4 × 22=100>0 ∴ Roots are irrational, real and unequal.

Q. The roots of the quadratic equation $x^{2} - 23 x - 22 = 0$ are :

imaginary

real, rational and equal

real, irrational and unequal

real, rational and unequal

Given, $x^{2} - 23 x - 22 = 0$
$D = b^{2} - 4 a c = 12 + 4 \times 22 = 100 > 0$
$∴$ Roots are irrational, real and unequal.

Q. The roots of the quadratic equation x2−23​x−22=0 are :