Question

SOLVE
(x - 2)^2 + (x + 1)^2 = 0
MEDAL AWARDED!!!!!

Answer 1

(x - 2)^2 + (x + 1)^2 = 0 Given

(x - 2)^2 = -(x + 1)^2 Subtraction Property of Equality

\(\dfrac{(x - 2)^2}{(x + 1)^2} = -1\) Division Property of Equality

\(\left(\dfrac{x - 2}{x + 1}\right)^2 = -1\) Property of Exponents

\(\dfrac{x - 2}{x + 1} = \pm\sqrt{-1}\) Square root property

\(\dfrac{x - 2}{x + 1} = \pm i\) Property of imaginary number

\(\dfrac{x + 1 - 3}{x + 1} = \pm i\) Property of Expansion of a number

\(\dfrac{x + 1}{x + 1} - \dfrac{3}{x + 1} = \pm i\) Property of fractions

\(1 - \dfrac{3}{x + 1} =\pm i\) Property of Mixed Fraction

Answer 2

\(1 \pm i = \dfrac{3}{x + 1}\) Addition Property of Equality

Answer 3

\(x + 1 = \dfrac{3}{1 \pm i}\) Multiplication Property of equality

Answer 4

\(x = \dfrac{3}{1 \pm i} - 1\)

Answer 5

i got 1 +- 3i/2

Answer 6

okay thank you

Answer 7

Actually, according to my sources the equivalent result is

\(\dfrac{1}{2} \pm \dfrac{3i}{2}\)

Answer 8

so i got it wrong?

Answer 9

wait no thats what i wrote

Answer 10

You wrote 1+- 3i/2

Answer 11

Which is not the same as 1/2 +or - (3i)/2

Answer 12

yah on the computer because i don't know how to write it like that but on my paper i wrote the correct way

Answer 13

Okay, whatever you say... :)

Answer 14

alright thanks…..

Answer 15

@Hero he just forgot the write the parentheses. he meant (1+-3i)/2