Question

$x - 5 \sqrt{x} + 6$
solve above equation and find value of x​

Answer 1

Answer:

$x - 5 \sqrt{x} + 6 \\ = x - (2 + 3) \sqrt{x} + (2 \times 3) \\ = {x}^{} - 2 \sqrt{x} - 3 \sqrt{x} + 6 \\ = \sqrt{x} ( \sqrt{x} - 2) - 3 ( \sqrt{x} - 2) \\ = ( \sqrt{x } - 2)( \sqrt{x} - 3) \\ then \: \sqrt{x} = 2 \: or \: 3 \\ and \: x = 4 \: \: or \: 9$