Solve the equation 21 x2-28 x-10-0

The given quadratic equation is 21x2 – 28x + 10 = 0 On comparing the given equation with ax2 + bx + c = 0, we obtain a = 21, b = –28, and c = 10 Therefore, the ...

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Standard XII

Mathematics

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Question

Solve the equation 21x² – 28x + 10 = 0

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Solution

The given quadratic equation is 21x² – 28x + 10 = 0

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

a = 21, b = –28, and c = 10

Therefore, the discriminant of the given equation is

D = b² – 4ac = (–28)² – 4 × 21 × 10 = 784 – 840 = –56

Therefore, the required solutions are

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Solve the equation 21x2 – 28x + 10 = 0

Solve the equation 21x² – 28x + 10 = 0