x=(1376-(x2-60))/2

Solution for x=(1376-(x2-60))/2 equation:

x=(1376-(x2-60))/2

We move all terms to the left:

x-((1376-(x2-60))/2)=0

We add all the numbers together, and all the variables

-((1376-(+x^2-60))/2)+x=0

We multiply all the terms by the denominator


-((1376-(+x^2-60))+x*2)=0


We calculate terms in parentheses: -((1376-(+x^2-60))+x*2), so:

(1376-(+x^2-60))+x*2

Wy multiply elements

(1376-(+x^2-60))+2x


We calculate terms in parentheses: +(1376-(+x^2-60)), so:

1376-(+x^2-60)

determiningTheFunctionDomain
-(+x^2-60)+1376

We get rid of parentheses

-x^2+60+1376

We add all the numbers together, and all the variables

-1x^2+1436

Back to the equation:

+(-1x^2+1436)


We get rid of parentheses

-1x^2+2x+1436

Back to the equation:

-(-1x^2+2x+1436)


We get rid of parentheses

1x^2-2x-1436=0

We add all the numbers together, and all the variables

x^2-2x-1436=0

a = 1; b = -2; c = -1436;
Δ = b2-4ac
Δ = -22-4·1·(-1436)
Δ = 5748
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:

$\sqrt{\Delta}=\sqrt{5748}=\sqrt{4*1437}=\sqrt{4}*\sqrt{1437}=2\sqrt{1437}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{1437}}{2*1}=\frac{2-2\sqrt{1437}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{1437}}{2*1}=\frac{2+2\sqrt{1437}}{2}
$