49x^2=262

Solution for 49x^2=262 equation:

49x^2=262

We move all terms to the left:

49x^2-(262)=0

a = 49; b = 0; c = -262;
Δ = b2-4ac
Δ = 02-4·49·(-262)
Δ = 51352
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:

$\sqrt{\Delta}=\sqrt{51352}=\sqrt{196*262}=\sqrt{196}*\sqrt{262}=14\sqrt{262}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{262}}{2*49}=\frac{0-14\sqrt{262}}{98}
=-\frac{14\sqrt{262}}{98}
=-\frac{\sqrt{262}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{262}}{2*49}=\frac{0+14\sqrt{262}}{98}
=\frac{14\sqrt{262}}{98}
=\frac{\sqrt{262}}{7}
$