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प्रश्न
Every quadratic equation has exactly one root.
विकल्प
True
False
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उत्तर
This statement is False.
Explanation:
For example, a quadratic equation x2 – 9 = 0 has two distinct roots – 3 and 3.
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संबंधित प्रश्न
If x=−`1/2`, is a solution of the quadratic equation 3x2+2kx−3=0, find the value of k
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Solve the following quadratic equation for x :
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Find the values of k for which the roots are real and equal in each of the following equation:
2x2 + kx + 3 = 0
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2x2 − 5x − k = 0
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Solve the following quadratic equation using formula method only
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Find the value of k for which the following equation has equal roots:
(k − 12)x2 + 2(k − 12)x + 2 = 0.
In each of the following determine the; value of k for which the given value is a solution of the equation:
x2 + 2ax - k = 0; x = - a.
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Find the least positive value of k for which the equation x2 + kx + 4 = 0 has real roots.
Which of the following equations has 2 as a root?
Which of the following equations has the sum of its roots as 3?
Find whether the following equation have real roots. If real roots exist, find them.
–2x2 + 3x + 2 = 0
Find whether the following equation have real roots. If real roots exist, find them.
`1/(2x - 3) + 1/(x - 5) = 1, x ≠ 3/2, 5`
Find the discriminant of the quadratic equation `3x^2 - 2x + 1/3` = 0 and hence find the nature of its roots.
