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7+3x-x2=0
We add all the numbers together, and all the variables
-1x^2+3x+7=0
a = -1; b = 3; c = +7;
Δ = b2-4ac
Δ = 32-4·(-1)·7
Δ = 37
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{-(3)-\sqrt{37}}{2*-1}=\frac{-3-\sqrt{37}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{37}}{2*-1}=\frac{-3+\sqrt{37}}{-2} $
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