99x^2-895=0

Solution for 99x^2-895=0 equation:

99x^2-895=0

a = 99; b = 0; c = -895;
Δ = b2-4ac
Δ = 02-4·99·(-895)
Δ = 354420
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:

$\sqrt{\Delta}=\sqrt{354420}=\sqrt{36*9845}=\sqrt{36}*\sqrt{9845}=6\sqrt{9845}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{9845}}{2*99}=\frac{0-6\sqrt{9845}}{198}
=-\frac{6\sqrt{9845}}{198}
=-\frac{\sqrt{9845}}{33}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{9845}}{2*99}=\frac{0+6\sqrt{9845}}{198}
=\frac{6\sqrt{9845}}{198}
=\frac{\sqrt{9845}}{33}
$