If sum and product of the roots of a quadratic equation are (4 - 3√2) and -28 respectively, then find the quadratic equation.

Question

Question

This question was previously asked in

RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 3)

Answer 1

Given:

Sum of roots = 4 - 3√(2)

Product of roots = -28

Formula Used:

The quadratic equation based on sum (S) and product (P) of roots is:

x² - (Sum of roots) × x + Product of roots = 0

Calculation:

Substitute the values of Sum of roots = 4 - 3√(2) and Product of roots = 28 :

⇒ x² - (4 - 3√2) × x + (-28) = 0

⇒ x² - (4x - 3√2x) - 28 = 0

The quadratic equation is x² - (4 - 3√2)x - 28 = 0.