Question

find the roots of the quadratic equation x-3/x=2 by factorization

Answer 1

equation will be x2-1

using identity (a-b)(a+b)=a square-bsquare

factor will be (x+1)(x-1) is ur ans

Answer 2

x -3/x = 2

(x^2 -3)/x = 2

x^2 - 3 = 2*x

x^2 -3 = 2x

x^2 -3 - 2x = 0

x^2 - 2x -3 = 0

x^2 - (3-1)x - 3 = 0

x^2 - 3x +x -3 = 0

x(x-3) + 1(x-3) = 0

(x-3) (x+1) = 0

Now,

x = 3   OR    x = -1

the roots are 3,(-1)


i hope this will help you


-by ABHAY