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8x^2-230x+750=0
a = 8; b = -230; c = +750;
Δ = b2-4ac
Δ = -2302-4·8·750
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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-230)-170}{2*8}=\frac{60}{16} =3+3/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-230)+170}{2*8}=\frac{400}{16} =25 $
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