SOLUTION: please help me with this problem? directions: for each quadratic function, find the x-intercepts, if they exist. Problem: f(x)= -2x^2-6x+5

Question 223983: please help me with this problem?
directions: for each quadratic function, find the x-intercepts, if they exist.
Problem:
f(x)= -2x^2-6x+5
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!

Step 1. To find the x-intercepts,set the equation equal to zero (that is f(x)=y=0}}}

Step 2. To solve, you can use the quadratic formula given as

where a=-2, b=-6 and c=5.

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=76 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -3.67944947177034, 0.679449471770337. Here's your graph:

I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J

http://www.FreedomUniversity.TV

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