SOLUTION: I have to solve using the quadric formula and if there are no real roots say so...Can you please help me? Thanks...:) Page588 Number 14 3 = 7x - 4x^2

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Question 146571This question is from textbook Beginning Algebra
: I have to solve using the quadric formula and if there are no real roots say so...Can you please help me? Thanks...:)
Page588
Number 14
3 = 7x - 4x^2 This question is from textbook Beginning Algebra

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
3 = 7x - 4x^2
Put into quadratic form (not quadric).

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=1 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1, 0.75. Here's your graph:

The 2 roots (quadratics always have 2 roots) are real.
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