49x^2=162

Solution for 49x^2=162 equation:

49x^2=162

We move all terms to the left:

49x^2-(162)=0

a = 49; b = 0; c = -162;
Δ = b2-4ac
Δ = 02-4·49·(-162)
Δ = 31752
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:

$\sqrt{\Delta}=\sqrt{31752}=\sqrt{15876*2}=\sqrt{15876}*\sqrt{2}=126\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-126\sqrt{2}}{2*49}=\frac{0-126\sqrt{2}}{98}
=-\frac{126\sqrt{2}}{98}
=-\frac{9\sqrt{2}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+126\sqrt{2}}{2*49}=\frac{0+126\sqrt{2}}{98}
=\frac{126\sqrt{2}}{98}
=\frac{9\sqrt{2}}{7}
$