(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 Nature of Roots

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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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Nature of Roots

For a quadratic equation $ax^2 + bx + c = 0$,if $\ldots \ldots \ldots \ldots$ then the roots are distinct and rational.

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The roots of a quadratic equation ............ are recurring.

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For a quadratic equation,if $\ldots \ldots \ldots \ldots$ then both the roots of an equation are distinct and real.

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

Similar Questions

For a quadratic equation $ax^2 + bx + c = 0$,if $\ldots \ldots \ldots \ldots$ then the roots are distinct and rational.

The roots of a quadratic equation ............ are recurring.

State whether the quadratic equation $3 x^{2}-4 x+1=0$ has two distinct real roots. Justify your answer.

For a quadratic equation,if $\ldots \ldots \ldots \ldots$ then both the roots of an equation are distinct and real.

If the following quadratic equation has two equal and real roots,then find the value of $k$: $x^{2}-(k+10)x+9(k+1)=0$.

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