SOLUTION: I need to solve the quadratic formula and state if there are no real roots or not for question #14 on page #588: 3=7x-4x^2 Appreciate the help.

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Question 76538This question is from textbook Beginning Algebra
: I need to solve the quadratic formula and state if there are no real roots or not for question #14 on page #588:
3=7x-4x^2
Appreciate the help.
This question is from textbook Beginning Algebra

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
First get all terms to one side by subtracting 3 from both sides

Now lets factor out a negative 1

Now lets factor the quadratic in the parenthesis:
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .


-------------------------------------------------------------------------
So in other words, the quadratic factors to
Divide both sides by -1
Set each term equal to zero





So our solutions are:
and which are both real
We can verify this with a graph
graph of
note: you can either get help with factoring or check your work with this Quadratic Factoring Solver

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