SOLUTION: solve the following quadratic equation. round answers 2 decimal places. 0.7x^2= 0.1x+0.3

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Question 212952: solve the following quadratic equation. round answers 2 decimal places.
0.7x^2= 0.1x+0.3
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
Solve the following quadratic equation. round answers 2 decimal places.



Let's put the above equation in quadratic form by subtracting 0.1x+.3 from both sides of the equation






Multiply by ten to get rid of decimal point



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=85 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.729967461235206, -0.587110318378063. 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.

Good luck in your studies!

Respectfully,
Dr J
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