Problem 6 of 7
Complete the square for x^2+4x-7.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
add and subtract (b/2)^2.
Hidden until you reveal it.
Leading coefficient must be 1 and the expression must be quadratic in x.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Take half of the x-coefficient.
2. Square that value.
3. Add and subtract the square, then factor the perfect-square trinomial.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Forms that add (b/2)^2 without subtracting it to preserve equivalence.