Question

Solve this question
4/x = x - 3 ?​

Answer 1

Answer: x = -1 or x = 4

Step-by-step explanation:

$\frac{4}{x} = x - 3$

$4 = x(x - 3)$

$4 = x^2 - 3x$

$x^2 - 3x - 4 = 0$

By Factorisation ,

$x^2 - 4x + x - 4 = 0$

$x(x - 4) + 1(x - 4) = 0$

$(x + 1)(x - 4) = 0$

Therefore , either x + 1 = 0 or x - 4 = 0

If x + 1 = 0 , then x = - 1

If x - 4 = 0 , then x = 4

Therefore x can be either -1 or 4

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