CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Factor Theorem

Solve for x...

Question

Solve for $x$ :
$x^{2} + (x + 1)^{2} = 365$

Open in App

Solution

Now,

$x^{2} + (x + 1)^{2} = 365$

or, $x^{2} + (x^{2} + 2 x + 1) = 365$

or, $2 x^{2} + 2 x - 364 = 0$

or, $x^{2} + x - 182 = 0$

or, $x^{2} + 14 x - 13 x - 182 = 0$

or, $x (x + 14) - 13 (x + 14) = 0$

or, $(x + 14) (x - 13) = 0$

or, $x = 13, - 14$ .

Suggest Corrections

thumbs-up

0

Similar questions

x

\frac{x^{2} - | x | - 12}{x - 3} \geq 2 x

x

{\begin{matrix} x^{2} + 2 x y + y^{2} = 64 y - x = 12 \end{matrix}

(x^{2} - x)^{2} - (x^{2} - x) - 12 = 0

x^{2} + \frac{x^{2}}{(x + 1)^{2}} = 3

x^{2} + x - 12

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Remainder Theorem

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon