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x*x-34x-79=0
We add all the numbers together, and all the variables
-34x+x*x-79=0
Wy multiply elements
x^2-34x-79=0
a = 1; b = -34; c = -79;
Δ = b2-4ac
Δ = -342-4·1·(-79)
Δ = 1472
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1472}=\sqrt{64*23}=\sqrt{64}*\sqrt{23}=8\sqrt{23}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-8\sqrt{23}}{2*1}=\frac{34-8\sqrt{23}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+8\sqrt{23}}{2*1}=\frac{34+8\sqrt{23}}{2} $
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