SOLUTION: What's the next step in solving the equation x^2+14x-4=30 after you add 4 to each side?

 

Hi,

The MTEL is solving by completing the Square:

x^2+14x-4=30 

x^2+14x = 34

= 34 + 49    |Adding 49 to each side yeilds a perfect square on the left

(x+7)^2 = 83     |Taking the square root of both sides of EQ

 x+7 =  ±  sqrt(83)

  x = -7  ±  sqrt(83)

Answers the same..just a different method of finding the Solution for x

Set to zero first (solving Using the Quadratic Formula)

The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0

x^2 + 14x - 34 = 0    use Quadratic formula