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Sphinxa [80]
3 years ago
10

Give an example of how you would solve an equation by completing the square. Describe the steps.

Mathematics
1 answer:
klemol [59]3 years ago
4 0

Answer:

Step-by-step explanation:

to solve an equation by completing the square in a quadratic formula

f(x)=ax²+bx+c

example :x²-6x-16=0

first rearrange if necessary, move the constant to one side .

x²-6x=16

second you find a new term to complete the square which is (b/2)², and add the term to both sides.(6/2)²=3²=9

x²-6x+9=16+9

x²-6x+9=25

third  factorize : find the common factor between 6 and 9 which is 3

x²-6x+9=25

(x-3)²=25

last solve for x: (x-3)²=25

x-3=√25

x=3±5

x=3+5=8 or 3-5=-2

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4 0
4 years ago
Is the following expression true or false? Show your work.
SOVA2 [1]

Answer:

The expression is true.

Explanation:

 (x^2+8x+16)(x^2-8x+16)=(x+4)^2(x-4)^2=((x+4)(x-4))^2

 We know that (a +b)(a-b) = a²-b²

 So we have ,

      ((x+4)(x-4))^2=(x^2-4^2)^2=(x^2-16)^2

 Which is Right Hand Side  given.

So, the expression is true.

 

7 0
3 years ago
Write -64.25 as a mixed number.<br> -64.25 as a mixed number
gogolik [260]

Answer:

-64 1/4

Step-by-step explanation:

0.25 is the same as 1/4.

-64.25 = -64 1/4

5 0
3 years ago
A psychology experiment on memory was conducted which required participants to recall anywhere from 1 to 10 pieces of informatio
blagie [28]

Answer:

The missing probability is, P (X = 7) = 0.24.

Step-by-step explanation:

The complete question is:

A psychology experiment on memory was conducted which required participants to recall anywhere from 1 to 10 pieces of information. Based on many results, the (partial) probability distribution below was determined for the discrete random variable (X = number of pieces of information remembered (during a fixed time period)).

What is the missing probability P(X=7)? Your answer should include the second decimal place.

X = # information | probability:

1 | 0.0

2 | 0.02

3 | 0.04

4 | 0.07

5 | 0.15

6 | 0.18

7 | ?

8 | 0.14

9 | 0.11

10 | 0.05

Solution:

The sum of the probabilities of all events of an experiment is always 1.

\sum\limits^{n}_{i=1}{P(X=x_{i})}=1

Use the above theorem to compute the missing probability.

\sum\limits^{n}_{i=1}{P(X=i)}=1

P(X=1)+P(X=2)+P(X=3)+...+P(X=10)=1\\0.00+0.02+0.04+0.07+0.15+0.18+a+0.14+0.11+0.05=1\\0.76+a=1\\a=1-0.76\\a=0.24

Thus, the missing probability is, P (X = 7) = 0.24.

8 0
3 years ago
What is the algebraic expression for the product of 9 and a number t
musickatia [10]
9t
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6 0
3 years ago
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