49x^2-126x-81=0

Solution for 49x^2-126x-81=0 equation:

49x^2-126x-81=0

a = 49; b = -126; c = -81;
Δ = b2-4ac
Δ = -1262-4·49·(-81)
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{-(-126)-126\sqrt{2}}{2*49}=\frac{126-126\sqrt{2}}{98}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-126)+126\sqrt{2}}{2*49}=\frac{126+126\sqrt{2}}{98}
$