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x2-21x+74=0
We add all the numbers together, and all the variables
x^2-21x+74=0
a = 1; b = -21; c = +74;
Δ = b2-4ac
Δ = -212-4·1·74
Δ = 145
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{-(-21)-\sqrt{145}}{2*1}=\frac{21-\sqrt{145}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+\sqrt{145}}{2*1}=\frac{21+\sqrt{145}}{2} $
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