Question

42. If alpha and beta zeroes of a quadratic polynomial x²- 5, then the quadratic polynomial whose zeroes are 1+alpha and 1+Beta is​

Answer 1

☆Answer:☆

Quadratic polynomial whose zeros are 1 + α and 1 + β will be x² - 2x - 4

☆Step-by-step explanation:☆

●Given

=>x² - 5 = 0

=> (x-√5)(x + √5) = 0

=> x = ±√5

●Hence

α = √5 and β = -√5

●New roots

= 1 + α and 1 + β

= 1 + √5 and 1 - √5

●Hence the new equation will be

[x-(1+α)][x-(1+β)] = 0

=> [x-(1+√5)][x-(1-√5)] = 0

=> x² -(1+√5)x - (1-√5)x + (1+√5)(1-√5) = 0

=> x² - 2x + 1 - 5 = 0

=> x² - 2x - 4 = 0

♤Hope it's helpful to you♤

♧have a great day ahead♧