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Gemiola [76]
3 years ago
9

(PLEASE HELP )Use the discriminant to find the number of real solutions of the equation 3x^2-5x+4=0. show your work.

Mathematics
2 answers:
Softa [21]3 years ago
5 0

Answer:

0 real solutions

Step-by-step explanation:

The discriminant (D) is given by the formula:

D=b^2-4ac

Where a,b, and c are gotten from the standard form of a quadratic equation, which is  ax^2+bx+c=0

The equation given is  3x^2-5x+4=0

<em>From this we can say that a = 3, b = -5, & c = 4. Plugging these into the discriminant formula we get:</em>

D=b^2-4ac\\D=(-5)^2-4(3)(4)\\D=-23

<u>There are 3 things that we can find from the value of discriminant:</u>

1. If D=0, there are 2 equal, real roots

2. if D>0, there are 2 distinct real roots

3. if D<0, there are no real roots, rather 2 imaginary roots

Since the value of the discriminant is negative (D<0), we can say that there are no real solutions for the equation given.

OleMash [197]3 years ago
3 0

Answer:

<h2>0</h2>

Step-by-step explanation:

\text{Use the discriminant:}\\\\ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{If}\ \Delta>0\ \text{then the equation has two real solutions:}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\text{If}\ \Delta=0\ \text{then the equation has one real solution:}\ x=\dfrac{-b}{2a}\\\text{If}\ \Delta

\text{We have the equation:}\\\\3x^2-5x+4=0\\\\a=3,\ b=-5,\ c=4\\\\\Delta=(-5)^2-4(3)(4)=25-48=-23

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Please help me . the image is attached
Vedmedyk [2.9K]

Answer:

50 times.

Step-by-step explanation:

Since the two coins are fair, each has a 1/2 chance of landing on heads. If both of them land on heads, that possibility would be 1/4 (1/2 * 1/2)

Because you are running the experiment 200 times, multiply 200 by 1/4:

200/4 = 50 times.

Hope this helps!

7 0
3 years ago
What is the greatest common factor of 8m, 36m", and 12?
wlad13 [49]

Answer: 4

Step-by-step explanation:

8m = 2*2*2*m

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12 = 2*2*3

GCF=2*2

Hope this helps!!

4 0
3 years ago
Which equation would you use to solve the following situation?
Igoryamba

Answer:p=7

Step-by-step explanation:because 4 x 7 =28

4 0
3 years ago
HELP ASAP PLEASE NEED IT RIGHT NOWWWW THANK YOU.!!
Alex73 [517]

Answer:

it should be 71

Step-by-step explanation:

16+5+5+5+5+5+5+5+5+5+5

+5= 71

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5 0
1 year ago
Brandon has a jar of quarters and dimes with a total value of $7.05. The number of quarters is 3 less than twice the number of d
miv72 [106K]

Answer:

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  • dimes: 13

Step-by-step explanation:

Let d represent the number of dimes. Then the number of quarters is 2d-3 and the total value of the coins is ...

  0.10d + 0.25(2d-3) = 7.05

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  d = (7.05 +0.75)/0.60 = 13 . . . . add 0.75, divide by 0.60

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Brandon has 23 quarters and 13 dimes.

4 0
2 years ago
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