(A) For the quadratic equation $ax^2 + bx + c = 0$,the roots are real if the discriminant $D = b^2 - 4ac \geq 0$.Here,$a = 1, b = 2, c = p$.Substituti

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(A) For the quadratic equation $ax^2 + bx + c = 0$,the roots are real if the discriminant $D = b^2 - 4ac \geq 0$.Here,$a = 1, b = 2, c = p$.Substituting these values into the discriminant formula:$D = (2)^2 - 4(1)(p) \geq 0$$4 - 4p \geq 0$$4 \geq 4p$$p \leq 1$Thus,the correct condition is $p \leq 1$.

Class 11 Mathematics 4-2.Quadratic Equations and Inequations Solution of quadratic equations and Nature of roots

Easy

If the roots of the equation $x^2 + 2x + p = 0$ are real,then what is the value of $p$?

A
$p \leq 1$
B
$p \leq 2$
C
$p \leq 3$
D
None of these

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4-2.Quadratic Equations and Inequations

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Solution of quadratic equations and Nature of roots

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If the roots of the equation $x^2 + 2x + p = 0$ are real,then what is the value of $p$?

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