(B) The given equation is $x^4-8x^3+x^2-x+3=0$. To remove the second term of an equation of the form $a_0x^n + a_1x^{n-1} + \dots = 0$,we diminish the

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

(B) The given equation is $x^4-8x^3+x^2-x+3=0$. To remove the second term of an equation of the form $a_0x^n + a_1x^{n-1} + \dots = 0$,we diminish the roots by $h = -\frac{a_1}{n \cdot a_0}$. Here,$a_0 = 1$,$a_1 = -8$,and $n = 4$. Thus,$h = -\frac{-8}{4 \times 1} = \frac{8}{4} = 2$. Therefore,the roots should be diminished by $2$.

Class 11 Mathematics 2 Complex Numbers and Quadratic Equations: Quadratic Equations Solution of quadratic equations and Nature of roots

Difficult

To remove the second term of the equation $x^4-8x^3+x^2-x+3=0$,diminish the roots of the equation by

AP EAMCET 2002 All AP EAMCET

TS EAMCET 2002 All TS EAMCET

A
$1$
B
$2$
C
$3$
D
$4$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

2 Complex Numbers and Quadratic Equations: Quadratic Equations

Subtopic

Solution of quadratic equations and Nature of roots

Previous Year

AP EAMCET 2002 Paper All AP EAMCET years →

Previous Year

TS EAMCET 2002 Paper All TS EAMCET years →

If $k \in (-\infty, -2) \cup (2, \infty)$,then the roots of the equation $x^2 + 2kx + 4 = 0$ are

Easy

View Solution

If $a$ is a positive integer such that the roots of the equation $7x^2 - 13x + a = 0$ are rational numbers,then the smallest possible value of $a$ is

MediumAP EAMCET 2021

View Solution

If the roots of the equation $(b - c)x^2 + (c - a)x + (a - b) = 0$ are equal,then $a, b, c$ are in which progression?

Medium

View Solution

Suppose the height of a pyramid with a square base is decreased by $p \%$ and the lengths of the sides of its square base are increased by $p \%$ (where $p > 0$). If the volume remains the same,then:

KVPY 2013

View Solution

The roots of the equations $2x^2 - 5x + 1 = 0$ and $x^2 + 5x + 2 = 0$ are:

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

To remove the second term of the equation $x^4-8x^3+x^2-x+3=0$,diminish the roots of the equation by

Similar Questions

If $k \in (-\infty, -2) \cup (2, \infty)$,then the roots of the equation $x^2 + 2kx + 4 = 0$ are

If $a$ is a positive integer such that the roots of the equation $7x^2 - 13x + a = 0$ are rational numbers,then the smallest possible value of $a$ is

If the roots of the equation $(b - c)x^2 + (c - a)x + (a - b) = 0$ are equal,then $a, b, c$ are in which progression?

Suppose the height of a pyramid with a square base is decreased by $p \%$ and the lengths of the sides of its square base are increased by $p \%$ (where $p > 0$). If the volume remains the same,then:

The roots of the equations $2x^2 - 5x + 1 = 0$ and $x^2 + 5x + 2 = 0$ are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module