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x2-7x-3x-164=0
We add all the numbers together, and all the variables
x^2-10x-164=0
a = 1; b = -10; c = -164;
Δ = b2-4ac
Δ = -102-4·1·(-164)
Δ = 756
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{756}=\sqrt{36*21}=\sqrt{36}*\sqrt{21}=6\sqrt{21}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-6\sqrt{21}}{2*1}=\frac{10-6\sqrt{21}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+6\sqrt{21}}{2*1}=\frac{10+6\sqrt{21}}{2} $
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