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X*X-9X+7=0
We add all the numbers together, and all the variables
-9X+X*X+7=0
Wy multiply elements
X^2-9X+7=0
a = 1; b = -9; c = +7;
Δ = b2-4ac
Δ = -92-4·1·7
Δ = 53
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{-(-9)-\sqrt{53}}{2*1}=\frac{9-\sqrt{53}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{53}}{2*1}=\frac{9+\sqrt{53}}{2} $
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