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प्रश्न
Every quadratic equation has at least one real root.
पर्याय
True
False
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उत्तर
This statement is False.
Explanation:
For example, equation x2 + 4 = 0 has no real root.
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संबंधित प्रश्न
Find the values of k for which the quadratic equation (3k + 1) x2 + 2(k + 1) x + 1 = 0 has equal roots. Also, find the roots.
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`3x^2 - 4sqrt3x + 4 = 0`
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Determine the nature of the roots of the following quadratic equation:
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In the following determine the set of values of k for which the given quadratic equation has real roots:
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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 roots of the equation 3x2 -10x +k = 0 are reciprocal of each other.
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x² + (p – 3) x + p = 0
Find the values of k so that the sum of tire roots of the quadratic equation is equal to the product of the roots in each of the following:
2x2 - (3k + 1)x - k + 7 = 0.
Find the discriminant of the following equations and hence find the nature of roots: 3x2 + 2x - 1 = 0
Find the discriminant of the following equations and hence find the nature of roots: 2x2 + 15x + 30 = 0
Which of the following equations has no real roots?
Let p be a prime number. The quadratic equation having its roots as factors of p is ______.
Solve the quadratic equation: `x^2 + 2sqrt(2)x - 6` = 0 for x.
If the quadratic equation ax2 + bx + c = 0 has two real and equal roots, then 'c' is equal to ______.
Solve the following quadratic equation:
x2 + 4x – 8 = 0
Give your Solution correct to one decimal place.
(Use mathematical tables if necessary.)
The roots of quadratic equation x2 – 1 = 0 are ______.
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