(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

Easy

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

If the roots of the following quadratic equation exist,find them by the method of completing the square: $\frac{2}{x^{2}}-\frac{1}{x}=6$.

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Solve the following equation using the method of factorization: $(x+1)^{2} + x^{2} = 221$.

Easy

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

Similar Questions

If the roots of the following quadratic equation exist,find them by the method of completing the square: $\frac{2}{x^{2}}-\frac{1}{x}=6$.

By selling a book for Rs. $119$,the profit percentage is equal to the cost price in rupees. Find the cost price of the book.

Solve the following equation using the method of factorization: $\frac{x+1}{x-1}-\frac{x-1}{x+1}=\frac{5}{6} \,(x \neq 1, -1)$

Examine whether the following equation is quadratic or not: $9x = 3x^3$.

Solve the following equation using the method of factorization: $(x+1)^{2} + x^{2} = 221$.

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