SOLUTION: Please help me solve this equation: 14=16t^2+12t

Question 226662: Please help me solve this equation: 14=16t^2+12t
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Please help me solve this equation:

Step 1. Subtract 14 from both sides of the equation.

Step 2. To solve, use the quadratic equation given as

where a=16, b=12, and c=-14

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=1040 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.632782218537319, -1.38278221853732. Here's your graph:

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV
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