1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaK [193]
3 years ago
6

Solve x2 − 8x + 5 = 0 using the completing-the-square method.

Mathematics
2 answers:
ivann1987 [24]3 years ago
6 0

x^2 - 8x + 5 = 0\\ x^2-8x+16-11=0\\ (x-4)^2=11\\ x-4=\sqrt{11} \vee x-4=-\sqrt{11}\\ x=4+\sqrt{11} \vee x=4-\sqrt{11}

nadezda [96]3 years ago
3 0

First, let's move the 5 to the other side by subtracting both sides by 5. That leaves us with:

x^2 - 8x = -5

The constant on the left side to make a binomial square should be (8/2)^2 = 16. Add 16 to both sides and you get: x^2 - 8x + 16 = 11

(x - 4)^2 = 11

Square root both sides:

(x - 4) = +/- sqrt (11)

Add 4 to both sides:

x = +/- sqrt (11) + 4

The 4 should be outside the square root.

You might be interested in
Which one is assotive property 3+0=3 or 5+(-5)=0
Mkey [24]

Step-by-step explanation:

Commutative property of multiplication: Changing the order of factors does not change the product. For example, 4 \times 3 = 3 \times 44×3=3×44, times, 3, equals, 3, times, 4.

Associative property of multiplication: Changing the grouping of factors does not change the product. For example, (2 \times 3) \times 4 = 2 \times (3 \times 4)(2×3)×4=2×(3×4)left parenthesis, 2, times, 3, right parenthesis, times, 4, equals, 2, times, left parenthesis, 3, times, 4, right parenthesis.

Identity property of multiplication: The product of 111 and any number is that number. For example, 7 \times 1 = 77×1=77, times, 1, equals, 7.

any more help just ask:)

3 0
3 years ago
HELP Which the following has a slope of 2 and a y-intercept of –4?
Alex777 [14]

Y=mx+b

M=slope=2

B=y-intercept=-4

Y=2x-4

Hope this helps!!!

6 0
3 years ago
Read 2 more answers
write an equation in point slope form for the line that passes through each point with the given slope (-7,2),m=6
frez [133]
Point-slope form for a  line:
We need a point (x₀,y₀) and the slope (m).
y-y₀=m(x-x₀=

We have the point (-7,2) and the slope (m=6); so:
y-2=6(x+7)

Answer: the equation in point-slope form would be: y-2=6(x+7)
6 0
3 years ago
If y is a positive integer, for how many different values of y is <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B144%5Cy%7D"
Citrus2011 [14]

Answer:

2

Explanation:

I'll explain later, it has to do with prime factors, and perfect cubes.

The two values of y that work are 18, and 144.

³√(144/<u>18</u>) = ³√(8) = 2 [whole number]

³√(144/<u>144</u>) = ³√(1) = 1 [whole number]

8 0
3 years ago
Help please ANYONE HELP PLEASE NEED RIFHT ANSWER
jeka94

Answer:

If I’m seeing it right I think it is 160units^3

3 0
3 years ago
Other questions:
  • 1) 24 + m = 49 pls help​
    5·2 answers
  • Suppose that x has a binomial distribution with n = 50 and p = .6, so that μ = np = 30 and σ = np(1 − p) = 3.4641. Calculate the
    7·1 answer
  • 1/5(x)-2/3=4/3 what the solution for x
    7·2 answers
  • Evaluate:<br> 226 (2n + 5) = [?]
    7·2 answers
  • Please help I'm doing homework and its due at 1:00!
    11·1 answer
  • Find the value of x. Write your answer in simplest form.<br> 30°<br> X<br> 14<br> X =
    13·1 answer
  • PLEASE HELP
    7·1 answer
  • Please help if u know
    6·1 answer
  • 4. Which rotation about the origin of line segment MN results in line segment M’N’?
    5·1 answer
  • Use the pattern of the rate of change to complete the table below that represents a linear function.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!