X^2-17x+63=0

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Solution for X^2-17x+63=0 equation: 



X^2-17X+63=0

a = 1; b = -17; c = +63;
Δ = b2-4ac
Δ = -172-4·1·63
Δ = 37
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{-(-17)-\sqrt{37}}{2*1}=\frac{17-\sqrt{37}}{2}
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{37}}{2*1}=\frac{17+\sqrt{37}}{2}
$

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