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प्रश्न
Every quadratic equation has at least one real root.
विकल्प
True
False
उत्तर
This statement is False.
Explanation:
For example, equation x2 + 4 = 0 has no real root.
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संबंधित प्रश्न
Find the value of p for which the quadratic equation (2p + 1)x2 − (7p + 2)x + (7p − 3) = 0 has equal roots. Also find these roots.
Find the values of k for which the roots are real and equal in each of the following equation:
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Find the values of k for which the roots are real and equal in each of the following equation:
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In the following determine the set of values of k for which the given quadratic equation has real roots:
kx2 + 6x + 1 = 0
For what value of k, (4 - k)x2 + (2k + 4)x + (8k + 1) = 0, is a perfect square.
Find the value(s) of p for which the quadratic equation (2p + 1)x2 – (7p + 2)x + (7p – 3) = 0 has equal roots. Also find these roots.
Discuss the nature of the roots of the following equation: 3x2 – 7x + 8 = 0
If α, β are roots of the equation x2 + 5x + 5 = 0, then equation whose roots are α + 1 and β + 1 is:
Find the roots of the quadratic equation by using the quadratic formula in the following:
–3x2 + 5x + 12 = 0
If one root of the quadratic equation x2 + 12x – k = 0 is thrice the other root, then find the value of k.
