X^2-12x+36-169=0

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Solution for X^2-12x+36-169=0 equation:



X^2-12X+36-169=0
We add all the numbers together, and all the variables
X^2-12X-133=0
a = 1; b = -12; c = -133;
Δ = b2-4ac
Δ = -122-4·1·(-133)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-26}{2*1}=\frac{-14}{2} =-7 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+26}{2*1}=\frac{38}{2} =19 $

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