Question

√3x+6 (+6 is in radical)= x-4

Answer 1

square both sides to get rid of square root

Answer 2

square (x-4)---FOIL

Answer 3

\[3x + 6 = x^{2} -8x + 16\]

Answer 4

subtract 3x and 6 to move to right side leaving 0 on the left

Answer 5

\[x^{2} -11x - 10 =0\]

Answer 6

you can factor using chart or my grouping

Answer 7

sorry that should be +10

Answer 8

\[x^{2} - 11x + 10 =0\]

Answer 9

what factors of 10 as a product gives you -11 as a sum?
-1 * -10=10 and -1 + (-10)=-11

Answer 10

so the factors are -1 and -10
(x-1)(x-10)=0
x-1 = 0 and x-10=0
x=1 x=10
{1, 10}

Answer 11

or factoring by grouping-break down middle term using know factors of -1 and-10

Answer 12

\[x^{2}-x-10x+10\]

Answer 13

factor out GCF
x(x-1)-10(x-1)=0
(x-10)(x-1)=0
x=10 and x=1

Answer 14

thx

Answer 15

welcome...do you understand? what grade are you in...medal please ; )

Answer 16

im in 8th doing algebra, so what ur final answer?

Answer 17

and what are you talking about with a medal?

Answer 18

love 8th grade Algebra! Solutions are 10 and 1
{1, 10}

Answer 19

click on good answer by my name on the right

Answer 20

yeah i got that, but when you plug it back in, it doesnt work. does it have to work?

Answer 21

what answer do i click on for good answer?

Answer 22

it does work

Answer 23

\[x=1 \sqrt{9}=1-4\]

Answer 24

okay good, thanks for your help

Answer 25

square root of 9 is 3 or -3

Answer 26

wait could u also help me with another question instead of me reposting one??

Answer 27

sure

Answer 28

x=10 so square root of 36 equals -6 or 6

Answer 29

a right triangle has one leg that is 4 inches shorter than the other leg. the hypotenuse is √106 inches. find the lengths of the legs.

Answer 30

ok i'm writing it out to solve...hold on

Answer 31

k

Answer 32

ill be right back

Answer 33

do you want to factor my grouping

Answer 34

\[2x^{2}-8x-90=0\]

Answer 35

let a = x, b=(x-4) and c=square root of 106(hypotenuse)

Answer 36

\[x^{2} + x^{2} -8x +16 = 106\]

Answer 37

after plugging into Pythagorean Theorem (right triangle)

Answer 38

subtract 106 from both sides to get the first equation I posted above

Answer 39

back

Answer 40

working backwards so hope you can follow

Answer 41

kind of

Answer 42

where did you get lost?

Answer 43

http://www.twiddla.com/536745 go there for explanation

Answer 44

thx