X^2-66x+189=0

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Solution for X^2-66x+189=0 equation: 



X^2-66X+189=0

a = 1; b = -66; c = +189;
Δ = b2-4ac
Δ = -662-4·1·189
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$


$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-66)-60}{2*1}=\frac{6}{2}
=3
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-66)+60}{2*1}=\frac{126}{2}
=63
$

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