200=x2+25

Solution for 200=x2+25 equation:

200=x2+25

We move all terms to the left:

200-(x2+25)=0

We add all the numbers together, and all the variables

-(+x^2+25)+200=0

We get rid of parentheses

-x^2-25+200=0

We add all the numbers together, and all the variables

-1x^2+175=0

a = -1; b = 0; c = +175;
Δ = b2-4ac
Δ = 02-4·(-1)·175
Δ = 700
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:

$\sqrt{\Delta}=\sqrt{700}=\sqrt{100*7}=\sqrt{100}*\sqrt{7}=10\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{7}}{2*-1}=\frac{0-10\sqrt{7}}{-2}
=-\frac{10\sqrt{7}}{-2}
=-\frac{5\sqrt{7}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{7}}{2*-1}=\frac{0+10\sqrt{7}}{-2}
=\frac{10\sqrt{7}}{-2}
=\frac{5\sqrt{7}}{-1}
$