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7x^2-135x-2250=0
a = 7; b = -135; c = -2250;
Δ = b2-4ac
Δ = -1352-4·7·(-2250)
Δ = 81225
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{81225}=285$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-135)-285}{2*7}=\frac{-150}{14} =-10+5/7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-135)+285}{2*7}=\frac{420}{14} =30 $
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