Question

The square of a positive number is 24 more than 5 times the number. What is the value of the number?

Answer 1

$\text{If the number is x,}\\\\x^2 = 24 +5x \\\\\implies x^2 -5x -24 =0\\\\\implies x^2 -8x+3x -24 =0\\\\\implies x(x-8) +3(x-8) =0\\\\\implies (x-8)(x+3) =0\\\\\implies x = 8~~~~ ;[\text{x is positive} ]$