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25t=5(5t/1)
We move all terms to the left:
25t-(5(5t/1))=0
We add all the numbers together, and all the variables
25t-(5(+5t/1))=0
We multiply all the terms by the denominator
25t*1))-(5(+5t=0
We add all the numbers together, and all the variables
5t+25t*1))-(5(=0
Wy multiply elements
25t^2+5t=0
a = 25; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·25·0
Δ = 25
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{25}=5$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*25}=\frac{-10}{50} =-1/5 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*25}=\frac{0}{50} =0 $
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