4k^2-101k+25=0

Solution for 4k^2-101k+25=0 equation:

4k^2-101k+25=0

a = 4; b = -101; c = +25;
Δ = b2-4ac
Δ = -1012-4·4·25
Δ = 9801
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9801}=99$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-101)-99}{2*4}=\frac{2}{8}
=1/4
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-101)+99}{2*4}=\frac{200}{8}
=25
$