5a^2-33a+28=0

Solution for 5a^2-33a+28=0 equation:

5a^2-33a+28=0

a = 5; b = -33; c = +28;
Δ = b2-4ac
Δ = -332-4·5·28
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33)-23}{2*5}=\frac{10}{10}
=1
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+23}{2*5}=\frac{56}{10}
=5+3/5
$