Q. Two students while solving a quadratic equation in x, one copied the constant term incorrectly and got the roots as 3 and 2. The other copied the c

Question

Q. Two students while solving a quadratic equation in x, one copied the constant term incorrectly and got the roots as 3 and 2. The other copied the c

Q. Two students while solving a quadratic equation in x, one copied the constant term incorrectly and got the roots as 3 and 2. The other copied the constant term and coefficient of `x^2` as `-6` and 1 respectively. The correct roots are :
A. 3, -2
B. `-3, 2`
C. `-6, -1 `
D. `6, -1`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Related Questions

(1) Who got the highest number of votes? (2) Who got the least number of votes? (3) Write the number of votes obtained in the

2 Answers 4 Views

Find all values of the parameter a for which the quadratic equation `(a+1)x^(2)+2(a+1)x+a-2=0` (i) has two distinct roots. (ii) has no roots. (iii) ha

2 Answers 4 Views

If `alpha,beta` are roots of `x^2-px+q=0` then find the quadratic equation whose roots are `((alpha^2-beta^2)(alpha^3-beta^3))` and `alpha^2beta^3+alp

2 Answers 5 Views

If `x_(1)` and `x_(2)` are the arithmetic and harmonic means of the roots fo the equation `ax^(2)+bx+c=0`, the quadratic equation whose roots are `x_(

2 Answers 4 Views

Let `a,b,c,d` be distinct real numbers and a and b are the roots of the quadratic equation `x^2-2cx-5d=0` . If c and d are the roots of the quadratic

2 Answers 4 Views

Let `alpha,beta` be the roots of the equation `x^2-p x+r=0` and `alpha/2,2beta` be the roots of the equation `x^2-q x+r=0` , the value of `r` is (2007

2 Answers 4 Views

If Raju got 5/12 part of a sugarcane and Sanju got 3/12 part, how much was the extra part that Raju got?

2 Answers 7 Views

Let `alpha` and `beta` be roots of the equation `X^(2)-2x+A=0` and let `gamma` and `delta` be the roots of the equation `X^(2)-18x+B=0`. If `alpha lt

2 Answers 6 Views

If first term of a GP is a, third term is b and `(n+1)th` term is c. The `(2n+1)th` term of a GP is

2 Answers 5 Views

When the ninth term of an AP is divided by its second term we get 5 as the quotient, when the thirteenth term ia devided ny sixth term the quotient is

2 Answers 4 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
Let quandratic equation `x^(2)+bx-6=0` ltBrgt `overset("constant term = wrong")overset(downarrow)("wrong roots=3, 2")`
but sum of roots = 3+2
It means, 3+2 = `(-b)/(1)`
b = -5 correct
`rArrx^(2)-5x-6=0` ltBrgt (x+1)(x-6)=0
x=-1, 6 roots

4 views Answered 2023-02-05 15:29