SOLUTION: Could you help by Solving this equation by using the Quadratic Formula:? {{{ (1/4) x^2 + (1/4) x -1/2 =0 }}} IS the answer x=1 x=-2 ? Thank you

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Question 1042032: Could you help by Solving this equation by using the Quadratic Formula:?

IS the answer x=1 x=-2
?
Thank you

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!

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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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=0.5625 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1, -2. Here's your graph:

=================

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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: 1, -2. Here's your graph:
Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
.
Instead of asking this question, you can simply substitute these values of x into the left side quadratic polynomial and check.


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