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7(t2+5t−9)+t=t(7t−2)+13 solve for t

User Wfgeo
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1 Answer

5 votes

Answer:

t = 6 or t = 4/7.

Explanation:

Let's begin by simplifying both sides of the equation:

7(t•2+5t−9)+t = t(7•t−2)+13

First, let's distribute the 7 to the terms inside the parentheses:

14t + 35t - 63 + t = t(7t - 2) + 13

Combine like terms on the left side of the equation:

50t - 63 = 7t^2 - 2t + 13

Next, let's move all the terms to one side of the equation:

7t^2 - 52t + 76 = 0

Now we can use the quadratic formula to solve for t:

t = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 7, b = -52, and c = 76.

Plugging in these values, we get:

t = (52 ± sqrt(52^2 - 4(7)(76))) / (2(7))

t = (52 ± sqrt(1024)) / 14

t = (52 ± 32) / 14

Therefore, the solutions to the equation are:t = 6 or t = 4/7.

User Jayars
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