168x^2=49

Solution for 168x^2=49 equation:

168x^2=49

We move all terms to the left:

168x^2-(49)=0

a = 168; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·168·(-49)
Δ = 32928
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:

$\sqrt{\Delta}=\sqrt{32928}=\sqrt{784*42}=\sqrt{784}*\sqrt{42}=28\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{42}}{2*168}=\frac{0-28\sqrt{42}}{336}
=-\frac{28\sqrt{42}}{336}
=-\frac{\sqrt{42}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{42}}{2*168}=\frac{0+28\sqrt{42}}{336}
=\frac{28\sqrt{42}}{336}
=\frac{\sqrt{42}}{12}
$