SOLUTION: One half the square of a number increased by three timesthe number is equal to 8. Find the number

Question 688748: One half the square of a number increased by three timesthe number is equal to 8. Find the number
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!

Subtract 8 from both sides

Multiply everthing by 2

Use the quadratic equation

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=100 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2, -8. Here's your graph:

The two answers are: 2 & -8

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