50+50-25x2=+2

Solution for 50+50-25x2=+2 equation:

50+50-25x^2=+2

We move all terms to the left:

50+50-25x^2-(+2)=0

We add all the numbers together, and all the variables

-25x^2+50+50-2=0

We add all the numbers together, and all the variables

-25x^2+98=0

a = -25; b = 0; c = +98;
Δ = b2-4ac
Δ = 02-4·(-25)·98
Δ = 9800
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:

$\sqrt{\Delta}=\sqrt{9800}=\sqrt{4900*2}=\sqrt{4900}*\sqrt{2}=70\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70\sqrt{2}}{2*-25}=\frac{0-70\sqrt{2}}{-50}
=-\frac{70\sqrt{2}}{-50}
=-\frac{7\sqrt{2}}{-5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70\sqrt{2}}{2*-25}=\frac{0+70\sqrt{2}}{-50}
=\frac{70\sqrt{2}}{-50}
=\frac{7\sqrt{2}}{-5}
$