If roots of quadratic equation (x – 1) (x – 2) – k = 0 be α and β then find the sum of square of roots of quadratic equation (x – α) (x

Engineering

Mathematics

Quadratic Equation and Nature of Roots

Question

If roots of quadratic equation (x – 1) (x – 2) – k = 0 be α and β then find the sum of square of roots of quadratic equation (x – α) (x – β) + k = 0.

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

(x – α) (x – β) + k = (x – 1) (x – 2)
$∴$ Roots of (x – α) (x – β) + k = 0 will be 1 and 2.
$∴$ Sum of square of roots = 12 + 22 = 5.