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9x*x+24x-994=0
We add all the numbers together, and all the variables
24x+9x*x-994=0
Wy multiply elements
9x^2+24x-994=0
a = 9; b = 24; c = -994;
Δ = b2-4ac
Δ = 242-4·9·(-994)
Δ = 36360
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{36360}=\sqrt{36*1010}=\sqrt{36}*\sqrt{1010}=6\sqrt{1010}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-6\sqrt{1010}}{2*9}=\frac{-24-6\sqrt{1010}}{18} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+6\sqrt{1010}}{2*9}=\frac{-24+6\sqrt{1010}}{18} $
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