Correct Answer - Option 3 : 21
Given:
The given equation is x2 - 21x + 90 = 0
Concept used:
In an algebraic expression, roots are those values in the expression which satisfies the given equation.
Calculation:
x2 - 21x + 90 = 0
⇒ x2 - 15x - 6x +90 = 0
⇒ x(x - 15) - 6(x - 15) = 0
⇒ (x - 15)(x - 6) = 0
⇒ (x - 15) = 0 or (x - 6) = 0
⇒ x = 15, 6
Required Sum = 15 + 6
⇒ Required Sum = 21.
∴ The sum of the roots of the equation 21.
