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-X2+15X+700=0
We add all the numbers together, and all the variables
-1X^2+15X+700=0
a = -1; b = 15; c = +700;
Δ = b2-4ac
Δ = 152-4·(-1)·700
Δ = 3025
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{3025}=55$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-55}{2*-1}=\frac{-70}{-2} =+35 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+55}{2*-1}=\frac{40}{-2} =-20 $
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