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12X^2-7X+1=0
a = 12; b = -7; c = +1;
Δ = b2-4ac
Δ = -72-4·12·1
Δ = 1
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{1}=1$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-1}{2*12}=\frac{6}{24} =1/4 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+1}{2*12}=\frac{8}{24} =1/3 $
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