Question

find solutions for x:
sqrt{x^2-11=5}

Answer 1

\[\sqrt{x^2-11=5}\]

Answer 2

you mean \[\sqrt{x^2-11} =5\]

most likely

Answer 3

sqaure both sides

x^2 -11 = 25
x^2 = 36
x= +- 6

Answer 4

BUT

Answer 5

it has no solutions

Answer 6

because if you put either +6 or -6 into the LHS you end up needing to take the sqrt of a negative

Answer 7

so , has no real solutions

Answer 8

you need to check your answers by subbing in if you ever have a sqaure root or a logarithm or divide by a variable