All categories

3 years ago

What number needs to be added to both sides of the equation in order to complete the square?

Mathematics

2 answers:

IRISSAK [1]3 years ago

8 0

Answer:

Step-by-step explanation:

The formula for the whole square is

$\left ( a+b \right )^2=a^{2}+2ab+b^{2}$

So, to make the complete square, in the expression

$x^{2}+14x = - 32$

First take half of the term 14 x that is 7x and then divide it by x so it is 7. Now take its square that is 49. So add 49 on both the sides to make the given expression as a whole square.

Sever21 [200]3 years ago

5 0

x^2+14x = (x+7)^2

7^2 = 49

so you would add 49 to both sides

You might be interested in

High school math help please (20 points for 3 problems, but if you could even answer 2 that would help. Please explain how you g

ipn [44]

Answer:

To question 1: van=9, bus=60

To question 2: Sorry, I don't know the answer.

To question 3: skate rental fee=$2.50, admission fee=$3.25

Step-by-step explanation:

Question 1:

Step 1 - set up equations

14v+16b=1,086

10b+13n=870

Step 2 - Solve for variable (in this case v)

10v+13b=870

Subtract 13b from both sides

10v=-13b+870

Divide both sides by 10

V=-1.3b+87

Step 3 - substitute the v in equation and solve

14 (-1.3b+87)+16b=1,086

-18.2b+1,218+16b=1,086

Combine like-terms

-2.2b+1,218=1,087

Subtract 1,218 from both sides

-2.2b=-132

Divide both sides by -2.2

B=60

Step 4 - substitute for b and solve

10v+13(60)=870

10v+780=870

Subtract 780 from both sides

10v=90

Divide both sides by 10

V=9

Question 3:

Step 1 - set up equations

5s+6f=32

5s+7f=35.25

Step 2 - solve for variable (in this case s)

5s+6f=32

Subtract 6f from both sides

5s=-6f+32

Divide both sides by 5

S=-1.2f+6.4

Step 3 - substitute for s and solve

5(-1.2f+6.4)+7f=35.25

-6f+32+7f=35.25

Combine like-terms

F+32=35.25

Subtract 32 from both sides

F=3.25

Step 4 - substitute for f

5s+6(3.25)=32

5s+19.5=32

Subtract 19.5 from both sides

5s=12.5

Divide both sides by 5

S=2.5

4 0

2 years ago

I need help on my math please

Dovator [93]

In a 2-way frequency table, you take the row entry and divide it by its row total to get a decimal.
For your example:
It starts out like this:
sunny snowy
Male: 17 11
Female: 15 16

Add the rows up.
sunny snowy     total
Male: 17 11 28
Female: 15 16 31

Then divide the number the by the total:
sunny     snowy     total
Male: 17/28 11/28 28
Female: 15/31    16/31 31

Yours says to round to the 1000th place, so it ends up like:
sunny snowy
Male: .607 .393
Female: .484 .515

Hope that helps!!

7 0

2 years ago

In a group of 24 people, 10 study

Minchanka [31]

Answer:

n = 24

p(a) = 10/24

p(b) = 15/24

[ p(a) + p(b) - [p(a) ×p(b)] ] -1 = answer

[ 35/24 - 6/24 ] -1 = 39/24 - 24/24 = 5/24

8 0

2 years ago