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-x^2+15x+8=0
We add all the numbers together, and all the variables
-1x^2+15x+8=0
a = -1; b = 15; c = +8;
Δ = b2-4ac
Δ = 152-4·(-1)·8
Δ = 257
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{-(15)-\sqrt{257}}{2*-1}=\frac{-15-\sqrt{257}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{257}}{2*-1}=\frac{-15+\sqrt{257}}{-2} $
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