Question

Partially factored form:

f(x) = (x − 3)(x + 3)(x2− 4x + 5)

Use the quadratic formula to identify the zeroes of x2 − 4x + 5.

Answer 1

Answer:

• 2 +i
• 2 -i

Step-by-step explanation:

For ax²+bx+c = 0, the solutions are ...

  $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

For the given quadratic term, a=1, b=-4, c=5, so the solutions are ...

  $x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(5)}}{2(1)}=\dfrac{4\pm\sqrt{-4}}{2}\\\\\boxed{x=2\pm i}$

Answer 2

Answer:

-2i+1 and 2-i

Step-by-step explanation:

Got it right on edge