Question

if the equation (a square + b square) x square - 2 A(A + c )X + b square + c square equal to zero has equal roots then ​

Answer 1

Step-by-step explanation:

let roots are alfa and beta

given alfa = beta = alfa+beta=

2alfa = -2A(A+c) / (a²+b²)

=> alfa² = A²(A+c)²/ (a²+b²)²............(1)

again

alfa× beta= alfa× alfa=

alfa² = (a²+b²) / 2A(A+c).................(2)

from (1) and (2)

2A³(A+c)³ = (a²+b²)³

=> ³√2A(A+c) = a²+b²

Hope this helps you