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Mathematics 8 Online
carmelle:

How do u solve this: 1· √ (x+2) + 3 = 6

umm:

Can you possibly post a screenshot, please?

carmelle:

sure

carmelle:

carmelle:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jaquanlowery the answer is 33 \(\color{#0cbb34}{\text{End of Quote}}\) how?

jaquanlowery:

Simplify each side of the equation. Use Raise 6 to the power of 2 .Move all terms not containing x to the right side of the equation. x = 33

carmelle:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jaquanlowery Simplify each side of the equation. Use Raise 6 to the power of 2 .Move all terms not containing x to the right side of the equation. x = 33 \(\color{#0cbb34}{\text{End of Quote}}\) I dont understand

jaquanlowery:

just know the answer is 33

carmelle:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jaquanlowery just know the answer is 33 \(\color{#0cbb34}{\text{End of Quote}}\) but I have to explain how I got the answer.. its not multiple choice

jhonyy9:

ok but first of all there is sqrt(x+2) + 3 = 6 ?

carmelle:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9 ok but first of all there is sqrt(x+2) + 3 = 6 ? \(\color{#0cbb34}{\text{End of Quote}}\) there is?

jaquanlowery:

To remove the radical on the left side of the equation, square both sides of the equation. √ x + 3 2 = 6 2 Simplify each side of the equation. Tap for fewer steps... Use n √ a x = a x n to rewrite √ x + 3 as ( x + 3 ) 1 2 . ( ( x + 3 ) 1 2 ) 2 = 6 2 Simplify ( ( x + 3 ) 1 2 ) 2 . Tap for fewer steps... Multiply the exponents in ( ( x + 3 ) 1 2 ) 2 . Tap for fewer steps... Apply the power rule and multiply exponents, ( a m ) n = a m n . ( x + 3 ) 1 2 ⋅ 2 = 6 2 Cancel the common factor of 2 . Tap for fewer steps... Cancel the common factor. ( x + 3 ) 1 2 ⋅ 2 = 6 2 Rewrite the expression. ( x + 3 ) 1 = 6 2 Simplify. x + 3 = 6 2 Raise 6 to the power of 2 . x + 3 = 36 Move all terms not containing x to the right side of the equation. Tap for fewer steps... Subtract 3 from both sides of the equation. x = 36 − 3 Subtract 3 from 36 .

jhonyy9:

ok than what is the first step ?

carmelle:

idk, I dont remember what to do. Do I do PEMDAS??

jaquanlowery:

yes you can

jhonyy9:

sqrt(x+2) +3 = 6 the first step subtract 3 from both sides

carmelle:

ok so we are left with sqrt(x+2) = 3??

umm:

@jaquanlowery, please don't plagiarize from outside sources other than your own knowledge.

jhonyy9:

yes and now how you elimine the square root ? what is the way ,do you know it ?

carmelle:

hmmm division? im not sure..

jhonyy9:

what you wan divide by what ?

carmelle:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9 what you wan divide by what ? \(\color{#0cbb34}{\text{End of Quote}}\) idk :(

jhonyy9:

look pls one example (sqrt x )^2 = x

carmelle:

divide 2 by 2, im confused sorry

jhonyy9:

to eliminate squar root so just square take on power of 2 - yes ?

carmelle:

ohhhh- I think I kinda get it now

jhonyy9:

ok continue pls

jhonyy9:

there is sqrt(x+2) = 3 square both sides what you get ?

carmelle:

u get x+2 = 3

jhonyy9:

why just 3 ? both sides are squared not just the left

carmelle:

ohhh

carmelle:

x+2 = sqrt3, im not sure.. im trying to understand this.. sorry if im wrong

jhonyy9:

no to eliminate squar root you need take it on power of 2 but both sides yes ? so we get [sqrt(x+2) ]^2 = 3^2 and now what will get ?

carmelle:

9

jhonyy9:

the 9 in the right side

carmelle:

ok so x+4 = 9

jhonyy9:

why x+4 ?

carmelle:

2 raised to the power of 2 is 4, right?

jhonyy9:

yes but there not 2 was squared was squared the squarroot

carmelle:

oh

jhonyy9:

so the power of 2 eliminate the squarroot

jhonyy9:

the x+2 remain not modified

carmelle:

ah ok.. so its x+2 = 9

carmelle:

then x =7

jhonyy9:

perfect

carmelle:

omg tysm

jhonyy9:

yw anytime

carmelle:

ok :)

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