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4x^2+130x-750=0
a = 4; b = 130; c = -750;
Δ = b2-4ac
Δ = 1302-4·4·(-750)
Δ = 28900
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{28900}=170$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(130)-170}{2*4}=\frac{-300}{8} =-37+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(130)+170}{2*4}=\frac{40}{8} =5 $
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