Home
Class 10
MATHS
Solve the following quadratic equations ...

Solve the following quadratic equations by factorization.
2m(m-24)=50

Text Solution

Verified by Experts

The correct Answer is:
25,-1 are the roots of the given quadratic equation.
`2m(m-24)=50`
`:.2m^(2)-48m-50=0`
`:.m^(2)-24m-25=0`
….. (Dividing each term of the equation by 2)
`:.m^(2)-25m+25=0`
`:.m(m-25)+1(m-25)=0`
`:.(m-25(m+1)=0`
`:.m-25orm+1=0`
`:.m=25orm=-1`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 2.3|6 Videos

  • QUADRATIC EQUATION

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

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PRACTICE SET 2.1|17 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

Solve the following quadratic equations by factorization: x^(2)+6x+5=0

Solve the following quadratic equations by factorization method.x^(2)+2sqrt(2)x-6=0

Solve the following quadratic equations by factorization method: x^(2)-5ix-6=0 (ii) x^(2)+4ix-4=0

Solve the following quadratic equations by factorization method: x^(2)-9=0 (ii) x^(2)-8x+16=0

Solve the following quadratic equation by factorisation. (xii) m^2-11=0 .

Solve the following quadratic equation by factorization method: x^(2)+(1-2i)x-2i=0

Solve the following quadratic equations by factorization method: (1)/(x-2)+(2)/(x-1)=(6)/(x)

Solve the following quadratic equation by factorization method x^(2)-7x+12=0

Solve the following quadratic equation by factorization method: x^(2)+10ix-21=0

Solve the following quadratic equation by factorization method: 6x^(2)-17ix-12=0