SOLUTION: Determine whether the following equations have a solution or not? Justify your answer. 2x2 + x

SOLUTION: Determine whether the following equations have a solution or not? Justify your answer. 2x2 + x - 1 = 0

Question 144720: Determine whether the following equations have a solution or not? Justify your answer.
2x2 + x - 1 = 0

Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
Notice that the left-hand side can be factored as:
(2x-1)(x+1)=0
Which gives x=1/2 or x=-1 as answers.
check:

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=9 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.5, -1. Here's your graph:

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