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The roots of the equation 2x^2 – 6x + 7 = 0 are ______. (a) real, unequal and rational (b) real, unequal and irrational (c) real and equal (d) imaginary

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Question

The roots of the equation 2x2 – 6x + 7 = 0 are ______.

Options

  • real, unequal and rational

  • real, unequal and irrational

  • real and equal

  • imaginary

MCQ
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Solution

The roots of the equation 2x2 – 6x + 7 = 0 are imaginary.

Explanation:

∵ D = (b2 – 4ac) 

= (–6)2 – 4 × 2 × 7 

= 36 – 56 

= –20 < 0 

Thus, the roots of the equation are imaginary.

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Chapter 4: Quadratic Equations - TEST YOURSELF [Page 239]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 4 Quadratic Equations
TEST YOURSELF | Q 22. | Page 239
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