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7.5x-3.2x^2=0
a = -3.2; b = 7.5; c = 0;
Δ = b2-4ac
Δ = 7.52-4·(-3.2)·0
Δ = 56.25
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7.5)-\sqrt{56.25}}{2*-3.2}=\frac{-7.5-\sqrt{56.25}}{-6.4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.5)+\sqrt{56.25}}{2*-3.2}=\frac{-7.5+\sqrt{56.25}}{-6.4} $
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