Question

If a number is subtracted from the square
of it, the answer is 272. What is the
number?​

Answer 1

Answer:

17

Step-by-step explanation:

square of 17 is 289.

the no. is 17

so, if 17 is subtracted from the square of the no. (289), then the answer is 272.

Answer 2

Answer:

Let the number be x

According to question

Explanation

${x}^{2} - x = 272$

${x}^{2} - x - 272 = 0$

Product= -272

Sum= -1

Numbers= 16,-17

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

${(x}^{2} + 16x) - (17x + 272) = 0$

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

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

$x - 17 = 0 \: \: or \: \: x + 16 = 0$

$x = 17, - 16 \: \: but \: \: x \: \: cannot \: \: be \: \: negative$

Therefore,

x=17

So,number=17

Let's verify

${x}^{2} - x = 272$

$( {17)}^{2} - 17 = 272$

$289 - 17 = 272$

272=272

Since,LHS=RHS

Hence,number=17