Question

roots of quadratic equation x- 3 /x= 2 by factoring

Answer 1

=> x - (3/x) = 2

=> (x² - 3)/x = 2

=> x² - 3 = 2x

=> x² - 2x - 3 = 0

=> x² - (3 - 1)x - 3 = 0

=> x² - 3x + x - 3 = 0

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

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

Therefore, by making the length and breadth equal to zero, we get :-

=> x = 3 and -1

Hope this helps.....