Question

What method(s) would you choose to solve the equation? Explain your reasoning.
x squared plus 8 x minus 3 equals 0

Answer 1

first, I'd type it so it's easier to read.
x^2 + 8x - 3 = 0
Then, since it's clear that it will not factor (why?)
I'd use either

complete the square
or
quadratic formula

because they always work.