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13x^2-75x-1800=0
a = 13; b = -75; c = -1800;
Δ = b2-4ac
Δ = -752-4·13·(-1800)
Δ = 99225
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{99225}=315$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-315}{2*13}=\frac{-240}{26} =-9+3/13 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+315}{2*13}=\frac{390}{26} =15 $
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