SOLUTION: This is one question with two parts For the following equation, state the value of the discriminant and then describe the nature of the solutions. 6x^2+4x-3=0 What is the value

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: This is one question with two parts For the following equation, state the value of the discriminant and then describe the nature of the solutions. 6x^2+4x-3=0 What is the value       Log On


   

Question 177461: This is one question with two parts
For the following equation, state the value of the discriminant and then describe the nature of the solutions.
6x^2+4x-3=0
What is the value of the discriminant?
Which one of the statements below is correct?
a. The equation has one real solution.
b. The equation has two imaginary solutions.
c. The equation has two real solutions.
please help thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

From 6x%5E2%2B4x-3 we can see that a=6, b=4, and c=-3


D=b%5E2-4ac Start with the discriminant formula.


D=%284%29%5E2-4%286%29%28-3%29 Plug in a=6, b=4, and c=-3


D=16-4%286%29%28-3%29 Square 4 to get 16


D=16--72 Multiply 4%286%29%28-3%29 to get %2824%29%28-3%29=-72


D=16%2B72 Rewrite D=16--72 as D=16%2B72


D=88 Add 16 to 72 to get 88


Since the discriminant is greater than zero, this means that the equation has two real solutions.