Question

Solve the following quadratic equations by factorization:
(5+x/5-x)-(5-x/5+x)=3 3/4;x≠5,-5

Answer 1

Solving the following quadratic equations by factorization:

(5+x/5-x)-(5-x/5+x)=33/4

Cross multiplying above equation

[(5+x)(5+x) - (5-x)(5-x)]/(5+x)(5-x) = 33/4

(5+x)^2 - (5-x)^2 / 25 - x^2 = 33/4

Solving these further

4×20x = (25 - x^2)×33

80x = 25×33 -33x^2

33x^2 + 80x - 825 = 0

Solving by factorization is not possible.