5.25x^2-56x-525=0

Solution for 5.25x^2-56x-525=0 equation:

5.25x^2-56x-525=0

a = 5.25; b = -56; c = -525;
Δ = b2-4ac
Δ = -562-4·5.25·(-525)
Δ = 14161
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14161}=119$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-119}{2*5.25}=\frac{-63}{10.5}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+119}{2*5.25}=\frac{175}{10.5}
=16+7/10.5
$