Question

If a number is subtracted from its square we get 272. Find the number?

Answer 1

Answer:

Step-by-step explanation:

Let x be the number

$x^{2} -x= 272 \\x^{2} -x-272 =0$ solving the above equation ,we get

(x-17)(x+16)= 0

which implies = x= 17 or -16

Answer 2

The unknown number is either -16 and 17.

Step-by-step explanation:

Let x be the unknown number.

If a number is subtracted from its square we get 272.

$x^2-x=272$

$x^2-x-272=0$

Splitting the middle term we get

$x^2-17x+16x-272=0$

$x(x-17)+16(x-17)=0$

$(x-17)(x+16)=0$

Using zero product property we get

$x-17=0\Rightarrow x=17$

$x+16=0\Rightarrow x=-16$

Therefore, the unknown number is either -16 and 17.

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