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37x-180+2x^2=0
a = 2; b = 37; c = -180;
Δ = b2-4ac
Δ = 372-4·2·(-180)
Δ = 2809
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{2809}=53$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-53}{2*2}=\frac{-90}{4} =-22+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+53}{2*2}=\frac{16}{4} =4 $
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