Solve the equation 27 x2-10 x-1-0

The given quadratic equation is 27x2 – 10x + 1 = 0 On comparing the given equation with ax2 + bx + c = 0, we obtain a = 27, b = –10, and c = 1 Therefore, the di ...

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Standard XII

Mathematics

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Question

Solve the equation 27x² – 10x + 1 = 0

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Solution

The given quadratic equation is 27x² – 10x + 1 = 0

On comparing the given equation with ax² + bx + c = 0, we obtain

a = 27, b = –10, and c = 1

Therefore, the discriminant of the given equation is

D = b² – 4ac = (–10)² – 4 × 27 × 1 = 100 – 108 = –8

Therefore, the required solutions are

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Solve the equation 27x2 – 10x + 1 = 0

Solve the equation 27x² – 10x + 1 = 0