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
Question 177462: 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 Found 2 solutions by stanbon, solver91311:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 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?
b^2 - 4ac = 16 - 4*6*-3 = 16 + 72 = 88
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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.
Ans: c
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Cheers,
Stan H.
You can put this solution on YOUR website! Your equation is in the form , where , , and . The discriminant is the part of the quadratic formula () that is under the radical, namely . Just plug in the values and do the arithmetic.
means that you have two distinct real number roots. (Your answer C)
means that you have two identical real number roots. Alternatively, it can be said that you have one real number root with a multiplicity of 2. (Your answer A)
means that you have a conjugate pair of complex roots of the form where is the imaginary number defined by (Your answer B)
(