X^2+y/2=124

Solution for X^2+y/2=124 equation:

X^2+X/2=124

We move all terms to the left:

X^2+X/2-(124)=0

We multiply all the terms by the denominator


X^2*2+X-124*2=0

We add all the numbers together, and all the variables

X^2*2+X-248=0

Wy multiply elements

2X^2+X-248=0

a = 2; b = 1; c = -248;
Δ = b2-4ac
Δ = 12-4·2·(-248)
Δ = 1985
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{1985}}{2*2}=\frac{-1-\sqrt{1985}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1985}}{2*2}=\frac{-1+\sqrt{1985}}{4}
$