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4.94.9x^2+80x-150=0
We add all the numbers together, and all the variables
4.446x^2+80x-150=0
a = 4.446; b = 80; c = -150;
Δ = b2-4ac
Δ = 802-4·4.446·(-150)
Δ = 9067.6
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{-(80)-\sqrt{9067.6}}{2*4.446}=\frac{-80-\sqrt{9067.6}}{8.892} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(80)+\sqrt{9067.6}}{2*4.446}=\frac{-80+\sqrt{9067.6}}{8.892} $
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