4x^2-210x+266=0

Solution for 4x^2-210x+266=0 equation:

4x^2-210x+266=0

a = 4; b = -210; c = +266;
Δ = b2-4ac
Δ = -2102-4·4·266
Δ = 39844
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:

$\sqrt{\Delta}=\sqrt{39844}=\sqrt{4*9961}=\sqrt{4}*\sqrt{9961}=2\sqrt{9961}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-210)-2\sqrt{9961}}{2*4}=\frac{210-2\sqrt{9961}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-210)+2\sqrt{9961}}{2*4}=\frac{210+2\sqrt{9961}}{8}
$