SOLUTION: Tutor please help me with this question 8(1+1/2)^2 +22(1+1/t)+15=0 Thank you!

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Question 105574: Tutor please help me with this question
8(1+1/2)^2 +22(1+1/t)+15=0
Thank you!

Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!
Given:
.

.
Inside the first set of parentheses, add the which is the same as
to get . Then square that quantity to get . This reduces the
problem to:
.

.
Multiplying the 8 times 2.25 results in 18 and the problem then is simplified to:
.

.
Next, multiply the 22 times each of the terms in the remaining set of parentheses. The
22 times the 1 is 22 and the 22 times the is . This makes the equation
become:
.

.
Then combine the 18 with the +22 and the +15 to get the sum 55. The equation is then:
.

.
By subtracting 55 from both sides you separate the two terms and make the equation:
.

.
Multiply both sides of this equation by t to eliminate the denominator and make the equation:
.

.
Solve for t by dividing both sides by -55 and you have:
.

.
Notice that both the numerator and the denominator have a common factor of 11. So you can
simplify the answer by dividing both by 11 to get:
.

.
Hope this helps you to understand the problem.

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