Question

the square of a number exceeds 5 times the number by 24. find the number(s)​

Answer 1

The square of the number is an illustration of equations

The number is -3 or 8

Let the number be x.

So, the equation is:

$\mathbf{x^2 - 5x = 24}$

Rewrite as:

$\mathbf{x^2 - 5x - 24 = 0}$

Expand

$\mathbf{x^2 - 8x + 3x- 24 = 0}$

Factorize

$\mathbf{x(x - 8) + 3(x- 8) = 0}$

Factor out x- 8

$\mathbf{(x + 3)(x- 8) = 0}$

Solve for x

$\mathbf{x = -3, \ or\ x = 8}$

Hence, the number is -3 or 8

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