Question

x^2+(x+1)^2=61 solve equation

Answer 1

expand on the left first

Answer 2

i.e. "multiply out, combine like terms"

Answer 3

x^2+(X+1)(x+1)-61=0

Answer 4

keep going....

Answer 5

X=-1, 61

Answer 6

Im not sure what to do with the x^2

Answer 7

expand
what is
\[(x+1)(x+1)=?\]

Answer 8

you know, as the math teachers say "foil" i.e. multiply that stuff out
do you know how to do it?

Answer 9

x^2+2X+1

Answer 10

sorry X*

Answer 11

yeah so now we are at
\[x^2+x^2+2x+1=61\] combine the like terms on the left

Answer 12

then subtract \(61\) from both sides
let me know when you get \[2x^2+2x-30=0\]

Answer 13

ok

Answer 14

oops
\[2x^2+2x-60=0\]

Answer 15

you there yet?

Answer 16

ok got that

Answer 17

divide by 2, get
\[x^2+x-30=0\] then factor

Answer 18

(x+6)(x-5)

Answer 19

and X=-6 or 5

Answer 20

yup

Answer 21

thanks

Answer 22

yw