Question

olve 2x2 + 3x + 5 = 0. Round solutions to the nearest hundredth.

x ≈ −2.14 and x ≈ 0.64

x ≈ −0.64 and x ≈ 2.14

x ≈ −4.28 and x ≈ 1.28

No real solutions

i got c am i correct?

Answer 1

Discriminant is b^2 - 4ac (This is the part that is inside the square root when you use the formula for finding roots to a quadratic equation).

If discriminant is negative it means you have to take the square root of a negative number which implies there are no real solutions. Is the discriminant positive or negative here?

Answer 2

positive

Answer 3

or negative?

Answer 4

-31

Answer 5

If it is negative then no real solution exists for this equation.

Answer 6

so this is no solutions?

Answer 7

No REAL solutions.

(But complex or imaginary solution does exist for this problem. But no REAL solution.)

Answer 8

ok thank youu

Answer 9

you are welcome.

Answer 10

Can you help me with another please?

Answer 11

@ranga

Answer 12

I can try.

Answer 13

ok

Answer 14

Identify the graph of a quadratic equation with two identical rational solutions.

Answer 15

The graph of which quadratic equation is shown below?

Answer 16

and that one

Answer 17

The roots or solutions of a quadratic equation on a graph is where the curve intersects the x axis:

If the curve cuts the x axis at two points it means two different solutions.
If the curve cuts the x axis at just one point it means two identical solutions.
If the curve does not cut the x axis at all it means no real solutions So which one do you think is the answer?

Answer 18

its either c or d

Answer 19

d?

Answer 20

No. They are asking for the graph that shows two IDENTICAL rational solutions. It means the graph has to cut (or touch actually) at just ONE point.

Answer 21

OHHH its B

Answer 22

Yes.

Answer 23

What about the second one

Answer 24

What are the answer choices?

Answer 25

y = x^2 + 2x − 8

y = x^2 − 2x − 8

y = −x^2 − 2x + 8

y = −x^2 − 4x − 8

Answer 26

The general quadratic equation is: ax^2 + bx + c = 0

If a is positive, the graph will open upward.
If a is negative, the graph will open downward.

So right away you can eliminate two possibilities.

Then notice that when x = 0, y = +8 in the graph. Which of the remaining two choices satisfy that condition?

Answer 27

the third one

Answer 28

yes.

Answer 29

thank you so much for your help and Happy Halloween

Answer 30

you are welcome. Happy Halloween to you too.