Home
Class 10
MATHS
Form the quadratic equation, if the root...

Form the quadratic equation, if the roots are : (1) 0 and 5
3and-10

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+7x-30=0` is the required quadratic equation.
Let `alpha=3and beta=-10`
Then `alpha+beta=3+(-10)=3-10=-7andalphabeta=3xx(-10)=-30`
The required quadratic equation is
`x^(2)-(alpha-beta)x+alphabeta=0`
i.e. `x^(2)-(-7)x+(-30)=0`
i.e. `x^(2)+7x-30=0`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 2.6|10 Videos

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PROBLEM SET -2|1 Videos

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 2.4|10 Videos

  • PYTHAGORAS THEOREM

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Challenging Questions|5 Videos

  • QUADRATIC EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNEMENT 2.4|8 Videos

Similar Questions

Explore conceptually related problems

Form the quadratic equation, if the roots are : (1) 0 and 4

Form the quadratic equation, if the roots are 3 and 8

Form the quadratic equation, if the roots are (1)/(2)and-4

From the quadratic equation, if its roots are (i) 10 and 3

From the quadratic equation, if its roots are (i) 10 and 3

Form the quadratic equation, if the roots are : (1) 0 and 7 2-sqrt5,2+sqrt5

Form the quadratic equation, if the roots are -2and-3

Form the quadratic equation, if the roots are : (1) 0 and 6 (1)/(2),-(1)/(2)

Form the quadratic equation, if the roots are 4 and -12

Form the quadratic equation if its root are 0 and 4