here is noahs work:\n$4x^2 - 20x + 88 = 0$\n$4x^2 - 20x = -88$\n$4x^2 - 20x + 25 = -88 + 25$\n$(2x - 5)^2 =…

here is noahs work:\n$4x^2 - 20x + 88 = 0$\n$4x^2 - 20x = -88$\n$4x^2 - 20x + 25 = -88 + 25$\n$(2x - 5)^2 = -63$\n\nshow how noah can finish his work using complex numbers.

here is noahs work:\n$4x^2 - 20x + 88 = 0$\n$4x^2 - 20x = -88$\n$4x^2 - 20x + 25 = -88 + 25$\n$(2x - 5)^2 = -63$\n\nshow how noah can finish his work using complex numbers.

Answer

Explanation:

Step1: Take square roots of both sides

$$\sqrt{(2x - 5)^2} = \sqrt{-63}$$ $$2x - 5 = \pm\sqrt{63}i$$ $$2x - 5 = \pm3\sqrt{7}i$$

Step2: Isolate the term with $x$

$$2x = 5 \pm3\sqrt{7}i$$

Step3: Solve for $x$

$$x = \frac{5 \pm3\sqrt{7}i}{2}$$

Answer:

$x = \frac{5 + 3\sqrt{7}i}{2}$ and $x = \frac{5 - 3\sqrt{7}i}{2}$