Question

( x2– 2x)2 + 5 (x2– 2x ) + 4 = 0 answer this plzz

Answer 1

Step-by-step explanation:

(0)2+5(0)+4

0+0+4

4

....

0 is because of 2x-2x

equal to 0

Answer 2

Answer:

x=−1−i√3 or x=−1+i√3

Explanation:

x2+2x+4=0 can be written as

x2+2×x×1+12−−−−−−−−−−−−−−−−−−12+4=0

and as a2+2ab+b2=(a+b)2, this is

(x+1)2−1+4=0

or (x+1)2+3=0

Now, to solve the equation, we must convert it to form a2−b2, but as we have +3, we write it as −(−3)

and using imaginary numbers −3=(i√3)2, as i2=−1 and (√3)2=3

Hence, we can write (x+1)2+3=0 as (x+1)2−(i√3)2=0

Using identity a2−b2=(a+b)(a−b), this becomes

(x+1+i√3)(x+1−i√3)=0

i.e. either x=−1−i√3 or x=−1+i√3.