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x2-9.84x-15.84=0
We add all the numbers together, and all the variables
x^2-9.84x-15.84=0
a = 1; b = -9.84; c = -15.84;
Δ = b2-4ac
Δ = -9.842-4·1·(-15.84)
Δ = 160.1856
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{-(-9.84)-\sqrt{160.1856}}{2*1}=\frac{9.84-\sqrt{160.1856}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9.84)+\sqrt{160.1856}}{2*1}=\frac{9.84+\sqrt{160.1856}}{2} $
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