If 5 is added to the square of a number the sum will be 30, find the numbers. | Quadratic Equation | SciPiPupil

Question: If 5 is added to the square of a number the sum will be 30, find the numbers.

Solution:

Let the required number be represented by x.

According to the question,

If 5 is added to the square of the number the sum will be 30.

$or, x^2 + 5 = 30$

$or, x^2 = 30-5$

$or, x^2 = 25$

$or, x = \pm \sqrt{25}$

$\therefore x = \pm 5$

Hence, there required numbers are 5 and (-5).

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