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In the equation ax^2 + bx + c = 0, it is given that D = (b^2 – 4ac) > 0. Then, the roots of the equation are ______. (a) real and equal (b) real and unequal (c) imaginary (d) none of these

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Question

In the equation ax2 + bx + c = 0, it is given that D = (b2 – 4ac) > 0. Then, the roots of the equation are ______.

Options

  • real and equal

  • real and unequal

  • imaginary

  • none of these

MCQ
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Solution

In the equation ax2 + bx + c = 0, it is given that D = (b2 – 4ac) > 0. Then, the roots of the equation are real and unequal.

Explanation:

We know that when discriminant, D > 0, the roots of the given quadratic equation are real and unequal.

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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 21. | Page 239
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