Question

find value of x^3-x^2+x+46 if x=2+3i​

Answer 1

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Maths

Algebraic Expressions

Finding the Value of an Expression

Find the value of x4 - x3 +...

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Asked on December 26, 2019 by

Ateeba Joon

Find the value of x

4

−x

3

+x

2

+3x−5 if x = 2+3i

MEDIUM

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ANSWER

x

4

−x

3

+x

2

+3x−5

(2+3i)

4

−(2+3i)

3

+(2+3i)

2

+3(2+3i)−5

(2+3i)

4

:−119−120i

(2+3i)

3

:−46+9i

(2+3i)

2

:−5+12i

=(−119−120i)+46−9i+(−5+12i)+6+9i−5

=−119−120i+46−9i−5+12i+6+9i−5

=−120i−9i+12i+9i−119+46−5+6−5

=−108i−119+46−5+6−5

=−77−108i