Home
Class 10
MATHS
Derive the quadratic formula from the st...

Derive the quadratic formula from the standard form `(ax^(2)+bx+c=0)` of a quadratic equation.

Text Solution

Verified by Experts

The correct Answer is:
`x=(-b pm sqrt(b^(2)-4ac))/(2a)`
This is the required quadratic formula.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (HOTS ( HIGHER ORDER THINKING SKILLS) - QUESTIONS)|10 Videos

  • QUADRATIC EQUATIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (IIT FOUNDATION)|5 Videos

  • QUADRATIC EQUATIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (SHORT ANSWER (SA) TYPE - 2 - QUESTIONS)|18 Videos

  • PROBABILITY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|24 Videos

  • REAL NUMBERS

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS(LONG ANSWER TYPE QUESTIONS )|5 Videos

Similar Questions

Explore conceptually related problems

Write the quadratic formula to find the roots of ax^(2)+bx+c=0 .

Write, (x+1)/2 = (1/x) in the standard from of a quadratic eqation.

Knowledge Check

  • If m and n are roots of a quadratic equation ,then the standard form of quadratic equations is:

    A
    ` x^(2) +( m + n ) x+ m n =0 `
    B
    ` x^(2) - (m+n)x- mn=0 `
    C
    ` x^(2) +( m- n ) x+ mn =0 `
    D
    ` x^(2) -( m+n)x+ mn =0 `

  • Select the pure quadratic equations:

    A
    `2x+ 5 =13`
    B
    ` x^(2) + 15 =26x`
    C
    ` x^(2) + 5x`
    D
    ` x^(2) +2=3`

  • In the equations ax^(2) +bx +c=0 , if b=0 then the equations.

    A
    Adfected quadratic equations
    B
    Pure quadratic equations
    C
    Linear equations
    D
    Simultaneous equations.

    • Similar Questions

    Explore conceptually related problems

    Write the standard form of a quadratic equations

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

    What is the conditions for an equations of the form ax^(2) +bx+ c =0 to become a linear equations?

    If ax^(2)+bx+c=0 has equal roots, 'c' is equal to

    The discriminant of the quadratic equations ax^(2) + bx+ c =0 is :

    Home
    Profile