If x- 2-i-3- then find the value of 4x2-8x-35

The correct option is A 55+24√(3)i x= 2+i√(3)∴ ( x 2 )^2= i^2.3= 3 or x^2 4x+7= 0. ...(1) ∴ 4x^2+8x+35= 4 ( x^2+4x+7 )+16x 28+8x+35 ...

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Properties of Iota

If x= 2+i√3...

Question

If $x = 2 + i \sqrt{3},$ then find the value of $4 x^{2} + 8 x + 35$

55 + 24 \sqrt{3} i

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42 + 18 \sqrt{3} i

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32 + 14 \sqrt{3} i

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none of these

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Solution

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x^{4} - 4 x^{2} + 8 x + 35 = 0

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