Question

Solve the equation 27 x²-10x+1=0​

Answer 1

STEP-BY-STEP SOLUTION-

27x² - 10x +1 = 0

find discriminant

D = b² - 4ac

= (-10)² - 4.27.1

= 100 - 108 = -8 < 0

Here D < 0 . it means given polynomial have no real roots .

Hence, we use the concept of complex number.

We know ,

i² = -1 use it here,

27x² -10x +1 = 0

Use quadratic formula ,

x = { -b ± √D}/2a

x = { 10 ± √(-8)}/2.27

= { 10 ± i2√2}/54

= (5 ±i√2)/27

Here, (5 +i√2)/27 , (5 -i√2)/27 are the real roots .

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