Question

solve for x x^2+6x=46

Answer 1

put in standard form: x^2 + 6x - 46 = 0
now use the quadratic formula....

Answer 2

-6+/-sqrtof220/6?

Answer 3

1st, you divide by 2*a (a being the coefficient of the x^2 term) a = 1 here
so divide by 2 not 6

2nd, you should simplify sqrt(220)
factor 220 into its prime factors
2*110
2*11*10
2*2*5*11
there is a pair of 2's so you can rewrite sqrt(220) as sqrt(2*2)*sqrt(55)= 2sqrt(55)

the answer is
\[ \frac{-6±2\sqrt{55}}{2}= -3±\sqrt{55} \]