Question

Which of the following numbers gives 342 when added to its own square?

Answer 1

Answer:

give the numbers........

Answer 2

Given:

A number when added to it's square gives 342.

To find:

The number.

Solution:

Let the number be x.

According to the question if x is added to it's square it gives 342.

Therefore the equation will be as follows:

${x}^{2} + x = 342$

Taking 342 on the other side.

${x}^{2} + x - 342 = 0$

By factorization method:

${x}^{2} + 19x - 18x - 342 = 0$

$x(x + 19) - 18(x + 19) = 0$

$(x + 19)(x - 18) = 0$

$x = - 19 \: and \: 18$

Therefore the number will be either 18 or it would be -19.