Question

If √9x +5=7, what is the value of x? Pleasee Medal and Fan :)

Answer 1

\[\sqrt{9x}+5=7\]

Answer 2

subtract both sides by 5 and we have \(\sqrt{9x}=2\), right?

Answer 3

How to get rid of square root? Do you know?

Answer 4

No :/ unless i divide both sides by 3x? Im not sure

Answer 5

square root is inverse of square, right?

\(2^2=4, \sqrt{4}=2\)
\(3^2=9, \sqrt{9}=3\)
\(4^2=16, \sqrt{16}=4\)
\(\vdots\)

Answer 6

So squaring it will cancel square root and leave us with \(9x\), right?

Answer 7

since we squared \(\sqrt{9x}\), we must also square 2

So we now have \(9x = 4\)

Makes sense so far?

Answer 8

x = 4/9

Answer 9

that is the next step and also the answer

Answer 10

hope this helps :)