Question

X - 2 = sqrt(3)

If I want to square root both sides, everything has to be squared right?

Answer 1

Correction: If I want to SQUARE both sides

Answer 2

yes..both sides will be squared..

Answer 3

@shubhamsrg

So (x-2)^2 = (sqrt(3))^2

right?

Answer 4

yep..the very same..

Answer 5

Squaring both sides will leave you with a quadratic equation.
It'll become exactly as you've posted above.
On simplifying, you get,
x^2 + 4 - 4x = 3
x^2 - 4x -1 = 0

Answer 6

But everyone has to be squared right? So can I image everything on the sides of the equations being encompassed by parentheses then raised to the power of 2?

Answer 7

Example:

2x + 3y + 2 = 3 + 7

Squaring both sides

(2x + 3y + 2)^2 = (3 + 7)^2

Answer 8

yes..you can imagine that ;)

Answer 9

yep..

Answer 10

Thanks

Answer 11

glad to help ^_^

Answer 12

but mind you if you square some eqn,,for eg. in the eqn you had posted..
it was converted into a quadratic eqn..if you solve it..you'll get 2 values of x..
both will not satisfy the original eqn! so be careful..

Answer 13

this is ought to happen,,as its like this
when x-2 =0 and you multiply both sides by (x-3)
and then solve,,you get x=2 and 3,,but you know only 2 satisfies original one..
so you see..why it happens..