227x^2=1316

Solution for 227x^2=1316 equation:

227x^2=1316

We move all terms to the left:

227x^2-(1316)=0

a = 227; b = 0; c = -1316;
Δ = b2-4ac
Δ = 02-4·227·(-1316)
Δ = 1194928
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:

$\sqrt{\Delta}=\sqrt{1194928}=\sqrt{16*74683}=\sqrt{16}*\sqrt{74683}=4\sqrt{74683}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{74683}}{2*227}=\frac{0-4\sqrt{74683}}{454}
=-\frac{4\sqrt{74683}}{454}
=-\frac{2\sqrt{74683}}{227}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{74683}}{2*227}=\frac{0+4\sqrt{74683}}{454}
=\frac{4\sqrt{74683}}{454}
=\frac{2\sqrt{74683}}{227}
$