If one of the roots of a quadratic equation having rational coefficients is √7-4, then the quadratic equation is

Question

If one of the roots of a quadratic equation having rational coefficients is √7-4, then the quadratic equation is (A) x2-2 √7 x-9=0 (B) x2-8 x+9=0. (C) x2+8 x+9=0. (D) x2-2 √7 x+9=0.

Tardigrade Admin · Accepted Answer

If a+√b is one root then a-√b is other root.

Q. If one of the roots of a quadratic equation having rational coefficients is $7 - 4$ , then the quadratic equation is

$x^{2} - 27 x - 9 = 0$

$x^{2} - 8 x + 9 = 0$ .

$x^{2} + 8 x + 9 = 0$ .

$x^{2} - 27 x + 9 = 0$ .

If $a + b$ is one root then $a - b$ is other root.

Q. If one of the roots of a quadratic equation having rational coefficients is 7​−4, then the quadratic equation is

x2−27​x−9=0

x2−8x+9=0.

x2+8x+9=0.

x2−27​x+9=0.