Question

Ex. 3: Find the value of x^3-x^2+ 2x + 10
when x= 1 + √3 i​

Answer 1

Answer:

x^3-x^2+2x+10=6

Step-by-step explanation:

Answer 2

Answer:

The correct answer is 2+4√3 i

Step-by-step explanation:

Given: x^3-x^2+ 2x + 10

To find: value of x^3-x^2+ 2x + 10 when x= 1 + √3 i​

we know that, i2= -1, i3= -i

=(1 + √3 i​)^3-(1 + √3 i​)^2+ 2(1 + √3 i​) + 10

= (1+3√3 i​³+ 3√3 i + 3.3.i²) + (1 + 3i²+ 2√3 i​)+ 2(1 + √3 i​) + 10

=1- 3√3 i +3√3 i -9 +1 -3 + 2√3 i + 2 + 2√3 i​ +10

=1-9-2+2+4√3 i+10

=-8+4√3 i+10

=2+4√3 i