SOLUTION: I need to solve for the discriminate and determine the number of solution and classify it for the equation:
square root of 2x^2-4x-7sq root of 2-0
can you help me?
Question 199414: I need to solve for the discriminate and determine the number of solution and classify it for the equation:
square root of 2x^2-4x-7sq root of 2-0
can you help me? Answer by solver91311(24713) (Show Source):
I don't know what a 'discriminate' means with respect to a quadratic polynomial. And you do not have an equation since there is no equals sign. So I can't precisely answer the question you posed.
However, if you meant:
"I need to calculate the discriminant, determine the number of solutions, and classify the solutions for the equation: sqrt(2)x^2-4x-7*sqrt(2)=0"
Then I can help.
Given a quadratic equation in standard form, namely:
You can calculate the discriminant, , by substituting the given coefficients into:
Then you can classify the roots of the equation thus:
Two real and unequal roots.
One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors.
A conjugate pair of complex roots of the form where is the imaginary number defined by
For your problem: , , and , so
You can do your own arithmetic and then evaluate according to the criteria listed.
