Which of the following is the result of the equation below after completing the square and factoring? x^2-4x+2=10
1 answer:
You might be interested in
Answer:
<h2><u>question 1</u></h2>use product and sum method
product = -96
sum = -20
numbers needed = ( -24 , 4)
n - 24 = 0
n + 4 = 0
hence <u>n = 24 and n = -4 </u>
<u></u>
<h2><u>Question 2 </u></h2><u /><u />
in the form
=
make use of the formula :
replace values to make 2 equations :
1. = 3.17
2. = -15.2
hence <u>x = 3.17 and x = -15.2</u>
<u />
<h2><u>Question 3 </u></h2><u /><u />
use product and sum method
product = 40
sum = -14
numbers needed = (-10 , -4)
x - 10 = 0
x - 4 = 0
hence<u> x = 10 and x = 4</u>
<u />
<h2><u>Question 4 </u></h2><u /><u />
in the form
this becomes
=
can simplify by 5
=
use product and sum method
product = -5
sum = -4
numbers needed (-5 , 1)
b-5 = 0
b + 1 = 0
hence <u>b = 5 and b = -1</u>
For this case we have the following polynomial:
To find the value of c that completes the square, we use the following equation:
Where,
- <em>b: coefficient of the variable of degree 1 </em>
Substituting values we have:
Answer:
the value of c that completes the square is: