If x=-5+ √ − 4 , then the value of the expression x 4 +9 x 3 +35 x 2 -x+4 is Options: A . &nbsp 160 B . &nbsp -160 C . &nbsp 60 D . &nbsp -60

Answer: Option B : B x+5 =4i ⇒ x 2 +10x+25=-16 Now, x 4 +9 x 3 +35 x 2 -x+4 =( x 2 +10x+41)( x 2 -x+4)-160=-160

If x=-5+√−4, then the value of the expression x4+9x3+35x2-x

Question -

If x=-5+ $\sqrt{- 4}$ , then the value of the expression $x^{4}$ +9 $x^{3}$ +35 $x^{2}$ -x+4 is

Options:

A . 160

B . -160

C . 60

D . -60

Answer: Option B
:
B

x+5 =4i $\Rightarrow$ $x^{2}$ +10x+25=-16

Now, $x^{4}$ +9 $x^{3}$ +35 $x^{2}$ -x+4

=( $x^{2}$ +10x+41)( $x^{2}$ -x+4)-160=-160

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