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rusak2 [61]
3 years ago
11

2xsquare-6x+3=0 by completing square method

Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

Answer:

x = 2.36603 or 0.633975

Step-by-step explanation:

Here we want to solve the quadratic equation using the completing the square method.

2x^2-6x + 3 = 0

divide through by 2 first;

x^2 -3x + 3/2 = 0

x*2 -3x = -3/2

Half the x term will be -3/2 and squaring it is 9/4

we add this to both sides

x^2-3x/2 + 9/4 = -3/2 + 9/4

(x-3/2)^2 = 3/4

Finding square root of both sides

x-3/2 = √(3/4)

x = 3/2 ± √(3/4)

x = 3/2 + √(3/4) or x = 3/2-√(3/4)

which becomes

x = 2.36603 or 0.633975

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Which rational numbers fall between 2.7 and 2.8 on a number line
Slav-nsk [51]
Some rational numbers are
2.71, 2.72, 2.73, 2.74, 2.75, 2.76, 2.77, 2.78, 2.79
2.711, 2.712 2.713....
2.721, 2.722, 2.723....
2.731....
I think you get the point! Hope this helped!
7 0
3 years ago
As Sally and George practice for the SAT their scores on practice test rise Sally’s current score is 850 and it is rising by 10
aleksley [76]

Answer:

a) 7 weeks b) George's

Step-by-step explanation:

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

3 0
3 years ago
Find the measure of b, given m∠A = 38°, m∠B = 74°, and a = 31.
tatyana61 [14]
Answer:
b = 48.4017

Explanation:
For this question, we will use the sine rule to get the missing side b. The sine rule is shown in the attached image.
We are given that:
a = 31
measure angle A = 38°
measure angle B = 74°

Substitute in the relation as follows:
sinA/a = sinB/b
sin(38) / 31 = sin(74) / b
b = [sin(74)] / [sin(38) / 31]
b = 48.4017

Hope this helps :)

5 0
3 years ago
There are 2 blue, 3 green and 10 red marbles in a bag. What is the Probability of pulling a red marble, replacing it, then pulli
Kamila [148]

Answer:

i think its this..   ._.

Step-by-step explanation:

if red is 10, and pulling a blue is 2, there is a 10/15 chace you will get a red, but a 2 out of 15 chance you will get a blue

3 0
3 years ago
Which of the following represents the sample space for flipping 2 coins, one after the other?
seropon [69]
C



Ndbkskdkdndnnccjkdkdkdnd that’s the answer
5 0
3 years ago
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