Question

${2x }^{2} - 4x + 6 ka \: guankhand \: gyat \: kare$
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Answer 1

★Answer★

Factor of ( 2x ² -4x +6 )

For this , using Dharacharya formula

[ X = {-b ±√( b²-4ac)}/2a]

where,

• a = 2,
• b = -4
• C = 6

So,

=>X = [-(-4)±√{(-4)²-4×2×6}]/(2×2)

=>X = [ 4±√{16-48}](4)

=>X =[ 4±√{-32}]/4

Or,

=>X = [ 4 ± i√ { 32]/4.

We know,

• i = √(-1).

Case(1):-

• take (+) sign

=>X = [4 + i√32]/4

Case(2):-

• take (-) sign

=>X = [ 4 - i√32]/4

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So, Factor of (2x² -4x +6) will be

• (4 + i √32)/4

• (4 - i √32)/4

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