(B) Comparing the given equation $x^{2}+5x+1=0$ with the standard form $ax^{2}+bx+c=0$,we get:$a=1, b=5, c=1$.The discriminant $D$ is given by the for

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(B) Comparing the given equation $x^{2}+5x+1=0$ with the standard form $ax^{2}+bx+c=0$,we get:$a=1, b=5, c=1$.The discriminant $D$ is given by the formula:$D = b^{2}-4ac$Substituting the values:$D = (5)^{2}-4(1)(1)$$D = 25-4$$D = 21$.Thus,the discriminant of the quadratic equation is $21$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

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Find the discriminant of the following quadratic equation: $x^{2}+5x+1=0$.

A
$12$
B
$21$
C
$16$
D
$9$

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Mix Examples - Quadratic Equations

Verify whether the given value of $x$ is a solution of the quadratic equation or not: $x^{2}+\sqrt{2}x-4=0$; $x=-2\sqrt{2}$.

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Solve the following equation using the method of factorization and write its solution set: $\frac{x}{x+1} + \frac{x+1}{x} = \frac{41}{20}$

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If the roots of the quadratic equation $5x(2x - 3) - 4 = 0$ exist,find them using the method of completing the square.

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The roots of the quadratic equation $\ldots \ldots \ldots \ldots$ are $-4$ and $5$.

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The solution set of a quadratic equation $x^{2}+5x-14=0$ is $\ldots \ldots \ldots \ldots .$

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Find the discriminant of the following quadratic equation: $x^{2}+5x+1=0$.

Similar Questions

Verify whether the given value of $x$ is a solution of the quadratic equation or not: $x^{2}+\sqrt{2}x-4=0$; $x=-2\sqrt{2}$.

Solve the following equation using the method of factorization and write its solution set: $\frac{x}{x+1} + \frac{x+1}{x} = \frac{41}{20}$

If the roots of the quadratic equation $5x(2x - 3) - 4 = 0$ exist,find them using the method of completing the square.

The roots of the quadratic equation $\ldots \ldots \ldots \ldots$ are $-4$ and $5$.

The solution set of a quadratic equation $x^{2}+5x-14=0$ is $\ldots \ldots \ldots \ldots .$

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