SOLUTION: Can someone help me with this problem? I'm not good with algebra at all. The function D (t) = 11t to the second power – 130t gives the distance a car going a certain speed wil

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Question 418144: Can someone help me with this problem? I'm not good with algebra at all.

The function D (t) = 11t to the second power – 130t gives the distance a car going a certain speed will skid in t seconds. Find the time it would take for the car to skid 170 feet.
The time to skid 170 feet is __________ seconds.
(Round to the nearest tenth.)

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
11t^2-130t=170
11t^2-130t-170=0
t=13 seconds
.
Ed
.
Solved by pluggable solver: SOLVE quadratic equation with variable
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=24380 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 13.006407361557, -1.18822554337521. Here's your graph:


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