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2x(5-3)-3x=9.5
We move all terms to the left:
2x(5-3)-3x-(9.5)=0
We add all the numbers together, and all the variables
2x2-3x-(9.5)=0
We add all the numbers together, and all the variables
2x^2-3x-9.5=0
a = 2; b = -3; c = -9.5;
Δ = b2-4ac
Δ = -32-4·2·(-9.5)
Δ = 85
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{-(-3)-\sqrt{85}}{2*2}=\frac{3-\sqrt{85}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{85}}{2*2}=\frac{3+\sqrt{85}}{4} $
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