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9t^2-6t=
We move all terms to the left:
9t^2-6t-()=0
We add all the numbers together, and all the variables
9t^2-6t=0
a = 9; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·9·0
Δ = 36
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{36}=6$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*9}=\frac{0}{18} =0 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*9}=\frac{12}{18} =2/3 $
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