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Irina-Kira [14]
3 years ago
11

Solve the equation by completing the square. 0=4x^2-72x

Mathematics
2 answers:
Butoxors [25]3 years ago
6 0

Answer:

Step-by-step explanation:

First we need to make sure that the leading coefficient is a 1.  Ours is a 4, so we need to factor it out, leaving us with

4(x^2-18x)=0

To complete the square, take half the linear term, square it, then add it to both sides.  But don't forget about that 4 hanging around out front, refusing to be ignored.  Our linear term is 18.  Half of 18 is 9, and 9 squared is 81.  Add 81 into the parenthesis, but what we REALLY added in was 4*81 which is 324:

4(x^2-18x+81)=324

To solve this, we need to get the x terms all by themselves.  So let's divide both sides by 4 to get

x^2-18x+81=81

The process of completing the square created a perfect square binomial on the left.  We will state this binomial now:

(x-9)^2=81

We isolate the x term by taking the square root of both sides:

x - 9 = ±9

From that we have 2 equations:

x - 9 = 9 and x - 9 = -9

Which means that x = 18 or x = 0

Gnom [1K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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Suppose for some value of x the solution to the equation 2.5(y−x)=0 is y = 6. What must be true about x?
Varvara68 [4.7K]

Step-by-step explanation:

In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)

2.5(6-x) = 0

Open the bracket,

(2.5×6)-2.5x= 0

Collect like terms.

2.5x= 2.5×6

Divide both sides by the coefficient of x (2.5)

x = 6

So,

x= 6 is true.

.

Substituting 6 for x in the equation,

2.5(6-6)= 0

2.5•0 = 0

0= 0

Which is also true.

7 0
2 years ago
Please help I will mark Brainly
valina [46]

I believe the answer is A. X-Coordinate


7 0
3 years ago
Read 2 more answers
What is the solution to the system of equations
Arada [10]

Answer:

(3,-2)

Step-by-step explanation:

Got it right!!

6 0
2 years ago
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Solve for n.<br> (8^n)^3 = 8^6<br> n=
pav-90 [236]

Answer:

2

Step-by-step explanation:

(x^{y})^z{}=x^{y*z}\\8^{3n}=8^6\\n=2

5 0
2 years ago
Someone help me plz.
Svetllana [295]
Answer:
20%

Explanation:
What we know:
- there are 25 cans in total
- 5 of them are root beer cans

Using this information, we can say that 5/25 cans are root beer cans. To find the percent, we change the fraction into a decimal and then multiply it by 100.

To change 5/25 into a decimal, we divide the numerator and denominator.
5/25=0.2

And we multiply the decimal by 100 to get the percent:
0.2*100=20

Therefore, 20% of Cam’s cans are root beer cans.

I hope this helps!
3 0
3 years ago
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