Question

A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of 0. How many real number solutions does the equation have?

Answer 1

Look at the quadratic formula and decide

Answer 2

There are 3 cases:
1. discriminant is positive.
2. discriminant is 0.
3. discriminant is negative.

You MUST know what the 3 different outcomes are. Please look up "discrimant" online or in your book or learning materials.

Answer 3

The "discriminant" is a component of the "quadratic formula." Can you type out the "quadratic formula" and then circle or underline the "discriminant?"

Answer 4

Look at the quadratic formula
\[
\left\{\left\{x\to
\frac{-\sqrt{b^2-4 a c}-b}{2
a}\right\},\left\{x\to
\frac{\sqrt{b^2-4 a c}-b}{2
a}\right\}\right\}
\]

Answer 5

so its 0?

Answer 6

The two roots must be equal to -b/(2a)

Answer 7

or 8

Answer 8

i have no clue guys

Answer 9

Try to solve
\[
x^2 -2 x +1 =0
\]

Answer 10

-2x^2=1

Answer 11

Here's the original question: "How many real number solutions does the equation have?" Again I urge you to look up "discriminant." You will likely find an explanation that tells you how many real number solutions you'll have if the discriminant is 0. I need for you to become involved here.

Answer 12

The discriminant is the name given to the expression that appears under the square root (radical) sign in the quadratic formula. Quadratic Formula: Discriminant. The discriminant tells you about the "nature" of the roots of a quadratic equation given that a, b and c are rational numbers.

Answer 13

Case 1: discriminant is negative What is the outcome? What type of roots result?
Case 2: discriminant is 0. What type of roots result?
Case 3: discriminant is positive. What type of roots result?

Answer 14

positive

Answer 15

Actually, the resulting roots could be either positive or neg. That's not the question.
You need to DESCRIBE the type of roots you'd get if the discriminant value is 0.
Have you looked up "discriminant" as I've suggested?

Answer 16

yes

Answer 17

And what have you learned?

Answer 18

The discriminant is the name given to the expression that appears under the square root (radical) sign in the quadratic formula. Quadratic Formula: Discriminant. The discriminant tells you about the "nature" of the roots of a quadratic equation given that a, b and c are rational numbers.

Answer 19

If the discriminant is zero, the resulting roots are ... ?

Answer 20

You need to find an explanation with more detail.

Answer 21

Case 1: discriminant is negative What is the outcome? What type of roots result?
Case 2: discriminant is 0. What type of roots result?
Case 3: discriminant is positive. What type of roots result?

Answer 22

im not understanding can you just explain to me how to do it?

Answer 23

I won't answer your question directly, but will give you an example:

IF the discriminant is negative, the quadratic equation has TWO COMPLEX ROOTS.

Please do further research...find out what type of roots you have, and how many, if the discriminant is 0 (as it is in this problem). Please note that every quadratic equation,without exception, has two roots. You must go further and describe the two roots.

Answer 24

Google "quadratic equation roots" or something like that.

Answer 25

Complete this sentence: If the discriminant is zero, the quadratic equation will have TWO (what kind of??) roots. You need two more descriptors.

Answer 26

dude i dont know,
square??????