English

Solve Any Two of the Following. Form a Quadratic Equation Whose Roots Are 4 and -12. - Algebra

Advertisements
Advertisements

Question

Solve any two of the following.  

Form a quadratic equation whose roots are 4 and -12.

Solution

`α=4 and β =-12` 

∴ `α++β=4+(-12)=-8` 

 ` αβ=4xx(-12)=-48` 

`x^2-(α+β)x+αβ=0` 

`x^2-(-8)x+(-48)=0`

`x^2+8x-48=0`

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) Balbharati Model Question Paper Set 3

RELATED QUESTIONS

A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original average speed?


Check whether the following is quadratic equation or not.

(x + 2)3 = x3 − 4


Solve `9/2 x = 5 + x^2`


Solve : (2x – 3)² = 49


(x + 3)² – 4(x + 3) – 5 = 0


If x = -3 and x = 2/3 are solutions of quadratic equation mx+ 7x + n = 0, find the values of m and n


Solve `x/a - (a + b)/x = (b(a +b))/(ax)`


Find the quadratic equation, whose solution set is: 

{−2, 3}


If x = − 3 and` x = 2/3 `are solution of quadratic equation `mx^2 + 7x + n = 0`, find the values of m and n.  


Which of the following are quadratic equation in x? 

`x^2-x-3=0` 


`48x^2-13x1=0` 

 


`16/x-1=15/(x+1),x≠0,-1`


Solve :

x4 - 2x2 - 3 = 0


Solve:

(x2 – 3x)2 – 16(x2 – 3x) – 36 = 0


Solve the quadratic equation 8x2 – 14x + 3 = 0

  1. When x ∈ I (integers)
  2. When x ∈ Q (rational numbers)

Find the values of m for which equation 3x2 + mx + 2 = 0 has equal roots. Also, find the roots of the given equation.


Which of the following are quadratic equation:
`(x -(1)/x)^2` = 0.


In each of the following find the values of k of which the given value is a solution of the given equation:
7x2 + kx -3 = 0; x = `(2)/(3)`


In each of the following find the values of k of which the given value is a solution of the given equation:
x2 + 3ax + k = 0; x = a.


Solve the following quadratic equation:
`(1)/(a + b + x) = (1)/a + (1)/b + (1)/x, a + b ≠ 0`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×