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9t^2-9t+2=0
a = 9; b = -9; c = +2;
Δ = b2-4ac
Δ = -92-4·9·2
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{9}=3$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-3}{2*9}=\frac{6}{18} =1/3 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+3}{2*9}=\frac{12}{18} =2/3 $
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