The sum of a number and its squares is 634 Find the number - Maths -

Question

The sum of a number and its squares is 63 4 Find the number

Global Expert · Accepted Answer

Let the required number be x
According to the question:x + x2 = 634⇒ 4x + 4x2 = 63⇒ 4x2 + 4x − 63 = 0⇒ 4x2 + (18 − 14)x − 63 = 0⇒ 4x2 + 18x − 14x − 63 = 0⇒ 2x(2x + 9) − 7(2x + 9) = 0⇒ (2x + 9)(2x − 7) = 0⇒ 2x + 9 = 0 or 2x − 7 = 0⇒ x = −92 or x = 72Hence, the number is either −92 or 72

The sum of a number and its squares is 63 4 . Find the number.

The sum of a number and its squares is $\frac{63}{4}$ . Find the number.