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Class 10 > Learn Mathematics > Determine the value of p for which the given quadratic...
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Determine the value of p for which the given quadratic equation has real roots: p(square of x) + 4x + 1 = 0?

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The equation: px^2 + 4x + 1=0. The roots are real if the discriminant is zero or positive. So, 4^2 - 4p >= 0 (>= means greater than or equal to). => p is smaller than or equal to 4. Answer: p must be equal to 4 or smaller.
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