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-x2+24x+30=0
We add all the numbers together, and all the variables
-1x^2+24x+30=0
a = -1; b = 24; c = +30;
Δ = b2-4ac
Δ = 242-4·(-1)·30
Δ = 696
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{696}=\sqrt{4*174}=\sqrt{4}*\sqrt{174}=2\sqrt{174}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-2\sqrt{174}}{2*-1}=\frac{-24-2\sqrt{174}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+2\sqrt{174}}{2*-1}=\frac{-24+2\sqrt{174}}{-2} $
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