(17*17)+(x*x)=(7x*7x)

Solution for (17*17)+(x*x)=(7x*7x) equation:

(17*17)+(x*x)=(7x*7x)

We move all terms to the left:

(17*17)+(x*x)-((7x*7x))=0

We add all the numbers together, and all the variables

(+x*x)-((+7x*7x))+289=0

We get rid of parentheses

x*x-((+7x*7x))+289=0


We calculate terms in parentheses: -((+7x*7x)), so:

(+7x*7x)

We get rid of parentheses

7x*7x

Wy multiply elements

49x^2

Back to the equation:

-(49x^2)


determiningTheFunctionDomain
-49x^2+x*x+289=0

Wy multiply elements

-49x^2+x^2+289=0

We add all the numbers together, and all the variables

-48x^2+289=0

a = -48; b = 0; c = +289;
Δ = b2-4ac
Δ = 02-4·(-48)·289
Δ = 55488
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{55488}=\sqrt{18496*3}=\sqrt{18496}*\sqrt{3}=136\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-136\sqrt{3}}{2*-48}=\frac{0-136\sqrt{3}}{-96}
=-\frac{136\sqrt{3}}{-96}
=-\frac{17\sqrt{3}}{-12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+136\sqrt{3}}{2*-48}=\frac{0+136\sqrt{3}}{-96}
=\frac{136\sqrt{3}}{-96}
=\frac{17\sqrt{3}}{-12}
$