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

Solution for X^2+x+2+x^2-25=0 equation:

X^2+X+2+X^2-25=0

We add all the numbers together, and all the variables

2X^2+X-23=0

a = 2; b = 1; c = -23;
Δ = b2-4ac
Δ = 12-4·2·(-23)
Δ = 185
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{185}}{2*2}=\frac{-1-\sqrt{185}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{185}}{2*2}=\frac{-1+\sqrt{185}}{4}
$