4x^2-59x+207=0

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Solution for 4x^2-59x+207=0 equation: 



4x^2-59x+207=0

a = 4; b = -59; c = +207;
Δ = b2-4ac
Δ = -592-4·4·207
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-13}{2*4}=\frac{46}{8}
=5+3/4
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+13}{2*4}=\frac{72}{8}
=9
$

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