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-10x^2-7x+132=0
a = -10; b = -7; c = +132;
Δ = b2-4ac
Δ = -72-4·(-10)·132
Δ = 5329
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{5329}=73$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-73}{2*-10}=\frac{-66}{-20} =3+3/10 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+73}{2*-10}=\frac{80}{-20} =-4 $
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