6.25x^2-6-x=0

Solution for 6.25x^2-6-x=0 equation:

6.25x^2-6-x=0

We add all the numbers together, and all the variables

6.25x^2-1x-6=0

a = 6.25; b = -1; c = -6;
Δ = b2-4ac
Δ = -12-4·6.25·(-6)
Δ = 151
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{151}}{2*6.25}=\frac{1-\sqrt{151}}{12.5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{151}}{2*6.25}=\frac{1+\sqrt{151}}{12.5}
$