SOLUTION: Solve this simultaneous equation: y=5-4x² y+3x=6 Please help

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Question 224915: Solve this simultaneous equation:
y=5-4x²
y+3x=6
Please help
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
Solve this simultaneous equation:
Equation 1
or Equation 2

Step 1. Set Equations 1 and 2 to be equal.



Step 2. Add to both sides of the equation





Step 3. To solve, use the quadratic formula given below



where a=4, b=-3, and c=1

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 : .

The discriminant -7 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -7 is + or - .

The solution is

Here's your graph:



Step 4. For each value of x found in Step 3, substitute each value into y=6-3x to get a total of 2 values for y. You now have two points as your solution to these equations. Your solutions will be complex numbers.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or 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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