How do I solve this and check all the solutions?

Given Eq:

Solving this:

Squaring both sides,

➝ x + 3 = (x - 3)²

➝ x + 3 = x² - 6x + 9

Now shifting RHS to LHS,

➝ x + 3 - x² + 6x - 9 = 0

➝ -x² + 7x - 6 = 0

➝ x² - 7x + 6 = 0

Now finding the values of x by middle term factorisation,

➝ x² - 6x - x + 6 = 0

➝ x(x - 6) - 1(x - 6) = 0

➝ (x - 1)(x - 6) = 0

➝ x = 1 or 6.

But here, you can see, x = 1 is not a solution to the original equation because when we say about square roots, value can't be negative.

Hence,

⛱️

a

explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this