46x^2-30=0

Solution for 46x^2-30=0 equation:

46x^2-30=0

a = 46; b = 0; c = -30;
Δ = b2-4ac
Δ = 02-4·46·(-30)
Δ = 5520
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:

$\sqrt{\Delta}=\sqrt{5520}=\sqrt{16*345}=\sqrt{16}*\sqrt{345}=4\sqrt{345}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{345}}{2*46}=\frac{0-4\sqrt{345}}{92}
=-\frac{4\sqrt{345}}{92}
=-\frac{\sqrt{345}}{23}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{345}}{2*46}=\frac{0+4\sqrt{345}}{92}
=\frac{4\sqrt{345}}{92}
=\frac{\sqrt{345}}{23}
$