Question

the roots of the quadratic equation x^2 - 11x-10=0 are a) none of these b) not real roots c) real and equal d) real and distinct​

Answer 1

As we know nature of roots is depend on the value of Discriminant (D)

so,

$\red{=> x^2 - 11x - 10 = 0}$

Here,

$\green{a => 1 , b => -11 , c => -10}$

We know that

$D => b^2-4ac$

$=> (-11)^2-4×1×(-10)$

$=> 1331+40$

$=> 1371$

Since, $\blue{D > 0 }$

Hence, The roots are real and distinct.