SOLUTION: How do you set up the problem: t+1/t=4
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Question 155865
:
How do you set up the problem: t+1/t=4
Found 2 solutions by
edjones, Alan3354
:
Answer by
edjones(8007)
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(t+1)/t=4 I assume that this is the problem.
t(t+1)/t=4t
t+1=4t
t-t+1=4t-t
3t=1
3t/3=1/3
t=1/3
.
Ed
Answer by
Alan3354(69443)
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How do you set up the problem: t+1/t=4
--------------
Multiply thru by t
t^2 + 1 = 4t
t^2 - 4t + 1 = 0
Solved by
pluggable
solver:
SOLVE quadratic equation (work shown, graph etc)
Quadratic equation
(in our case
) has the following solutons:
For these solutions to exist, the
discriminant
should not be a negative number.
First, we need to compute the discriminant
:
.
Discriminant d=12 is greater than zero. That means that there are two solutions:
.
Quadratic expression
can be factored:
Again, the answer is: 3.73205080756888, 0.267949192431123. Here's your graph:
It's 2 + sqrt(3) and 2 - sqrt(3)
The on site solver always uses x, sub t for x.