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10x^2-11x+3=
We move all terms to the left:
10x^2-11x+3-()=0
We add all the numbers together, and all the variables
10x^2-11x=0
a = 10; b = -11; c = 0;
Δ = b2-4ac
Δ = -112-4·10·0
Δ = 121
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{121}=11$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-11}{2*10}=\frac{0}{20} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+11}{2*10}=\frac{22}{20} =1+1/10 $
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