Problem 34 of 7
Solve the difference-of-squares equation 9x^2-16=0.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
recognize conjugate factors.
Hidden until you reveal it.
Equation must contain a difference of two squares equal to zero.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Recognize a^2-b^2 as (a-b)(a+b).
2. Set both conjugate factors equal to zero.
3. Solve each linear equation.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Single-root answers that omit the negative or positive counterpart unless the shifted case supports different values.