Question

Translate this problem to an equation and solve.
The sum of the squares of two consecutive positive even numbers is 52.
What is the smaller number?

Answer 1

@jojo4eva @Jwoodward48 @FlvsGirl @rose21

Answer 2

Actually \[\large \left| x \right|^{2}+\left| x+2 \right|^{2}=52\]

Answer 3

is that the equation to figure out the problem

Answer 4

yes

Answer 5

ok let try to work it out

Answer 6

is it four

Answer 7

yes, i get the same as wel

Answer 8

cool ok thanks here is another problem Translate this problem to an equation and solve.
The area of a rug is 36 square feet. The length of the rug is 5 feet longer than the width. What is the width of the rug?
feet?

Answer 9

Alright let me think

Answer 10

ok will do and ill be trying too

Answer 11

I guess you'll need to use the fact that \[Area = W*L\] and L = W+5

Answer 12

the area is length*breadth
length=5+breadth
so area =breadth*(breadth+5)
36=b^2+5b
so solving it we get
b=4
this is wat i got

Answer 13

Let the even numbers be x and x+2
\[x ^{2}+\left( x+2 \right)^{2}=52, where x>0\]
\[x ^{2}+x ^{2}+4x+4=52\]
\[2x ^{2}+4x-48=0\]
\[x ^{2}+2x-24=0\]
\[x ^{2}+6x-4x-24=0\]
\[x \left( x+6 \right)-4\left( x+6 \right)=0\]
\[\left( x+6 \right)\left( x-4 \right)=0\]
x+6=0,x=-6 (rejected,xx>0)
or x-4=0
x=4
smallest numbers= 4

Answer 14

seems right

Answer 15

Translate this problem to an equation and solve.
The area of a square garden is 81 square feet.
What is the length of each side?

Answer 16

\[\sqrt{81}\]

Answer 17

oh you need to translate it to an equation first, let's see.

Answer 18

x*x=81 so x²=81

Answer 19

its 9 cuase it is a square garden so that makes it a 9x9 garden right

Answer 20

yes

Answer 21

Translate this problem to an equation and solve.
The area of a patio is 72 square feet. The length of the patio is 1 foot longer than the width. What is the width of the patio?

Answer 22

i square garden by definition has an area that is the square of the sides, so the sides are the root of the area.

Answer 23

Same s the rug problem

Answer 24

ok

Answer 25

8 is the width right

Answer 26

yes

Answer 27

The area of a rug is 66 square feet. The length of the rug is 5 feet longer than the width. What is the width of the rug?
feet?

Answer 28

simular question as the previous