Math, asked by nikhilpatilsh4225, 10 months ago

If alpha and beta are the roots of the equation (x-a)(x-b)-c=0, then find the roots of the equation (x-alpha)(x-beta)-c=0

Answers

Answered by azizalasha
3

Answer:

solved

Step-by-step explanation:

(x-a)(x-b)-c = 0

x² - (a+b)x + ab - c = 0

∝+β = a+b

∝β = ab-c

as for the equation  (x-alpha)(x-beta)-c=0

x² - (∝+β)x + ∝β - c = 0

x = { ∝+β ± √( (∝+β)² - 4(∝β-c))}÷2 = { a+b ± √( (a+b)² - 4(ab-2c))}÷2

Similar questions