(C) The given quadratic equation is in the form $ax^{2}+bx+c=0$.Comparing $x^{2}-5x-14=0$ with the standard form,we get $a=1$,$b=-5$,and $c=-14$.The d

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) The given quadratic equation is in the form $ax^{2}+bx+c=0$.Comparing $x^{2}-5x-14=0$ with the standard form,we get $a=1$,$b=-5$,and $c=-14$.The discriminant $D$ is given by the formula $D=b^{2}-4ac$.Substituting the values,we get $D=(-5)^{2}-4(1)(-14)$.$D=25+56$.$D=81$.Therefore,the discriminant is $81$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

Easy

Find the discriminant of the following quadratic equation: $x^{2}-5x-14=0$.

A
$12$
B
$55$
C
$81$
D
$70$

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Quadratic Equations

Subtopic

Mix Examples - Quadratic Equations

Solve the following equation using the method of factorization and write its solution set: $\frac{x+2}{x} + \frac{x}{x+2} = \frac{10}{3}$

Medium

View Solution

Solve the following equation using the method of factorization: $\frac{1}{x-3}-\frac{1}{x+5}=\frac{1}{6} \,(x \neq 3, -5)$

Difficult

View Solution

The value of the discriminant of a quadratic equation $kx^{2} - 4x - 4 = 0$ is $64$,then $k = \dots$

Easy

View Solution

If $\ldots \ldots \ldots$ then real roots of a quadratic equation do not exist.

Easy

View Solution

Find the roots of the quadratic equation using the quadratic formula:
$2x^{2} - 3x - 5 = 0$

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Find the discriminant of the following quadratic equation: $x^{2}-5x-14=0$.

Similar Questions

Solve the following equation using the method of factorization and write its solution set: $\frac{x+2}{x} + \frac{x}{x+2} = \frac{10}{3}$

Solve the following equation using the method of factorization: $\frac{1}{x-3}-\frac{1}{x+5}=\frac{1}{6} \,(x \neq 3, -5)$

The value of the discriminant of a quadratic equation $kx^{2} - 4x - 4 = 0$ is $64$,then $k = \dots$

If $\ldots \ldots \ldots$ then real roots of a quadratic equation do not exist.

Find the roots of the quadratic equation using the quadratic formula:$2x^{2} - 3x - 5 = 0$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Find the roots of the quadratic equation using the quadratic formula:
$2x^{2} - 3x - 5 = 0$