3 years ago

Solve for x. (X-8)^2=-8

Mathematics

1 answer:

VikaD [51]3 years ago

7 0

Answer:

x = 8 ± 2i√2

Step-by-step explanation:

√-1 is imaginary number i

Step 1: Write equation

(x - 8)² = -8

Step 2: Solve for <em>x</em>

Square root both sides: x - 8 = √-8
Factor out negative: x - 8 = √-1 · ±√8
Simplify: x - 8 = ±i2√2
Add 8 to both sides: x = 8 ± 2i√2

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