Question

How do I solve this and check all the solutions?

Answer 1

sir answer is x=6

Explanation:

I hope this 9s ok

Answer 2

`\LARGE{ \underline{ \tt{Required \: answer:}}}`

Given Eq:

• √x + 3 = x - 3

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,

• As a result, the only valid solution to the original equation is x = 6.

⛱️
`\large{ \blue{ \bf{FadedElla}}}`