Question

13(x+11)^2 - 144= h(x). How do I solve for the x-intercepts using square roots?

a) x = ±√(12)
b) x = ±√(144/13)
c) x = ±√(156)
d) x = ±√(169)

Answer 1

To find the x-intercepts of the equation, you need to solve for x by setting the equation to zero and isolating x using algebraic steps including taking square roots.

Step-by-step explanation:

To find the x-intercepts using square roots for the equation 13(x+11)^2 - 144 = h(x), you need to set h(x) to zero and solve for x:

1. Set the equation to zero: 13(x+11)^2 - 144 = 0.
2. Add 144 to both sides: 13(x+11)^2 = 144.
3. Divide by 13: (x+11)^2 = 144/13.
4. Take the square root of both sides: x+11 = ±√(144/13).
5. Subtract 11 from both sides to solve for x: x = -11 ±√(144/13).

Therefore, the x-intercepts are found by evaluating -11 ±√(144/13).