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
faltersainse [42]
3 years ago
8

Solve for the roots in simplest form by completing the square x^2-12x+20=0

Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0

Answer:

x = 10 or x = 2

Step-by-step explanation:

Solve for x:

x^2 - 12 x + 20 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 20 from both sides:

x^2 - 12 x = -20

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 36 to both sides:

x^2 - 12 x + 36 = 16

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 6)^2 = 16

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 6 = 4 or x - 6 = -4

Hint: | Look at the first equation: Solve for x.

Add 6 to both sides:

x = 10 or x - 6 = -4

Hint: | Look at the second equation: Solve for x.

Add 6 to both sides:

Answer: x = 10 or x = 2

You might be interested in
NO WRONG ANSWERS Two customers took out car loans from a bank. Marcus took out a 5-year loan for $10,000 and paid 4.7% annual si
Gennadij [26K]

Answer:

2164 dollars

Step-by-step explanation:

8 0
3 years ago
There are four erasers but only three pencils write the ratio of erasers to pencils
iris [78.8K]
4:3
4 to 3
4/3
I wrote all the three ways
3 0
3 years ago
Please help I’ll give you points and mark you brainliest
elixir [45]
ANSWER:

i think it’s c
5 0
3 years ago
(1.)Find the slope of the line that passes through the given pair of points. (If an answer is undefined, enter UNDEFINED.) (?a +
jekas [21]

Answer:

1. The slope of the line is m=\frac{-2b+3}{2a}.

2. The value of a is 18.

Step-by-step explanation:

If a line passes through two points, then the slope of the line is

m=\frac{y_2-y_1}{x_2-x_1}

(1)

It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is

m=\frac{-b-(b-3)}{a+3-(-a+3)}

m=\frac{-b-b+3}{a+3+a-3)}

m=\frac{-2b+3}{2a}

The slope of the line is m=\frac{-2b+3}{2a}.

(2)

If the line passing through the points (a, 1) and (6, 5), then the slope of the line is

m_1=\frac{5-1}{6-a}=\frac{4}{6-a}

If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is

m_2=\frac{1-7}{a+2-2}=\frac{-6}{a}

The slopes of two parallel lines are same.

m_1=m_2

\frac{4}{6-a}=\frac{-6}{a}

On cross multiplication we get

4a=-6(6-a)

4a=-36+6a

4a-6a=-36

-2a=-36

Divide both sides by -2.

a=18

Therefore the value of a is 18.

8 0
3 years ago
I will give you 25 points for my other qusetion
Sophie [7]
What was your other question
6 0
3 years ago
Read 2 more answers
Other questions:
  • -5.6+(-9.72) what does this equal?
    6·1 answer
  • What is 2/8 times 1/7 show step by step explanation
    11·2 answers
  • a sphere and a cone have the same volume. each figure has a radius of 4 inches. what is the volume of the cone
    12·1 answer
  • Place the following numbers in order from least to greatest.
    15·2 answers
  • Please I really need help! I will mark you as brainliest!
    9·1 answer
  • Minimum and maximum value of 2n^2+5n-25=0
    6·1 answer
  • Select the correct answer from each drop-down menu.
    9·1 answer
  • 12.009 write in word form
    6·1 answer
  • Ralph is arranging a wedding reception. He can spend no more than $8000. It costs $6000 to rent the hall and $25 to feed each gu
    15·1 answer
  • Given the equation y= 3x + 8, what would be the value of y be when x = 3?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!