Question

Compute the value of the discriminant and give the number of real solutions of the quadratic equation.

Answer 1

To do this would you look at the exponent?

Answer 2

https://www.youtube.com/watch?v=9Go4zH5ByFg

Hope this will Help.

Answer 3

Compare the given quadratic equation to ax^2+bx+c=0. Identify the values of a, b and c.
The discriminant is defined as \[b^2-4ac\]

Answer 4

Using your values of a, b and c, find the value of the discriminant.

Answer 5

im really confused :(

Answer 6

So long as your terms are given in descending order by powers of x, NO, the exponents (there are 3) have no other bearing on this problem. Again, identify a, b and c
and calculate the discriminant, using the formula above.

Ask some questions, then. Each of us has to take at least some responsibility for his undrstanding.

Answer 7

so would it be
A = -5x^2
B= 9x
C=-5

Answer 8

Actually, a=-5, b=9 and c=-5. Do NOT include the powers of x. a, b and c are called "coefficients," and are what you want.

Now find the discriminant. See the formula I gave you earlier.

Answer 9

9^2-4(-5)(-5) ?

Answer 10

Yes. Evaluate that.

Answer 11

81 - 100

Answer 12

so -19?

Answer 13

Yes. Now, the discriminant could be positive, zero or negative. Yours is negative. What does that tell you about the character of the roots of this quadratic equation?

Answer 14

theyll be positive, right?

Answer 15

Please look up "quadratic formula" and look for the 3 different discriminant outcomes.

Example: If the discriminant is zero, there will be two equal, real roots.

Your "positive" does not answer this question.

Answer 16

it says there will be 2 complex roots if it is negative

Answer 17

That's right. I'm so pleased that you looked this up and found the correct answer yourself. Congratulations!!

Answer 18

so would -19 be the discriminant, and "2" would be the answer for the number of solutions?

Answer 19

the discriminant is indeed -19. As for the 2nd part, you must state not only how many roots there will be, but also what kind of roots they will be. You typed in the correct answer a few minutes ago. What is it?

Answer 20

2 complex, but it only allows me to type in a number

Answer 21

That's a real shame. Actually, '2' is part of all 3 possible answers, but to answer this question properly, you MUST use the word "complex." I'm unsure how to advise you now if you cannot type in the word "complex."

Answer 22

If you have a real, live teacher, I'd suggest asking him or her how to type in your full answer (2 complex roots).