Question

The common root of the equations x2 – bx + c = 0 and x2 + bx – a = 0 is

Answer 1

x2-bx+c=x2+bx-a
x2-x2-bx-bx+c+a
the answer will be -2bx+a+c

Answer 2

Answer:

a+c/2b

Step-by-step explanation:

GIVEN THAT THE QUADRATIC EQUATION HAVE COMMON ROOTS. SINCE IT MEANS THAT THEIR ROOTS OF ANY ONE IS EQUAL SO,THAT ROOT WILL BE THE VALUE OF " x". So when we have common roots in any one the equation by EQUATING we get the value of "x". Hence by substituting that value of "x" we get answer zero.So EQUATING i and ii

Eqn(i)- (x2 – bx + c = 0) and Eqn(ii)-(x2 + bx – a = 0)

x2 – bx + c = x2 + bx – a

-bx+c = bx-a

a+c = bx+bx

a+c = 2bx

(a+c)÷2b = x

HOPE THIS WILL UNDERSTAND FOR YOU.....

BY SUSTITUTING THIS VALUE OF "x" YOU WILL GET ZERO