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(-1.5x^2)-17.5x+.3=0
We add all the numbers together, and all the variables
(-1.5x^2)-17.5x+0.3=0
We get rid of parentheses
-1.5x^2-17.5x+0.3=0
a = -1.5; b = -17.5; c = +0.3;
Δ = b2-4ac
Δ = -17.52-4·(-1.5)·0.3
Δ = 308.05
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{-(-17.5)-\sqrt{308.05}}{2*-1.5}=\frac{17.5-\sqrt{308.05}}{-3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17.5)+\sqrt{308.05}}{2*-1.5}=\frac{17.5+\sqrt{308.05}}{-3} $
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