Question

What is the solution of sqareroot 1-3x = X+3?

Answer 1

x=-8 or x=-1 (first option)

Explanation:

`√(1-3x)=x+3\\1-3x=(x+3)^(2) \\`

now expand the bracket on the right

`1-3x=x^(2) +6x+9\\simplify:\\1-9=x^2+6x+3x\\-8=x^2+9x\\`

now make it a quadratic equation:

`x^2+9x+8=0\\factorise:\\(x+1)(x+8)\\so:\\x+1=0 \\x=-1\\\\and \\x+8=0\\x=-8`