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0=x^2+29x-750
We move all terms to the left:
0-(x^2+29x-750)=0
We add all the numbers together, and all the variables
-(x^2+29x-750)=0
We get rid of parentheses
-x^2-29x+750=0
We add all the numbers together, and all the variables
-1x^2-29x+750=0
a = -1; b = -29; c = +750;
Δ = b2-4ac
Δ = -292-4·(-1)·750
Δ = 3841
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{-(-29)-\sqrt{3841}}{2*-1}=\frac{29-\sqrt{3841}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+\sqrt{3841}}{2*-1}=\frac{29+\sqrt{3841}}{-2} $
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