SOLUTION: Need to solve the quadratic formula and state if there are no real roots or not for question #10 on page #588: 3x^2+7x-6=0 Thanks!

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Question 76539This question is from textbook Beginning Algebra
: Need to solve the quadratic formula and state if there are no real roots or not for question #10 on page #588:
3x^2+7x-6=0
Thanks!
 This question is from textbook Beginning Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .


So the quadratic 3x%5E2%2B7x-6 factors to %283x-2%29%28x%2B3%29
In other words
3x%5E2%2B7x-6=%283x-2%29%28x%2B3%29=0
%283x-2%29%28x%2B3%29=0
Set each factor equal to zero
3x-2=0Solve for x
3x=2
x=2%2F3
x%2B3=0Solve for x
x=-3
So our solutions are:
x=2%2F3 and x=-3 which are two real roots
We can see this if we graph y=3x%5E2%2B7x-6
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x%5E2%2B7x-6%29+ graph of y=3x%5E2%2B7x-6