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What is the nature of the roots of the q...

What is the nature of the roots of the quadratic equations ` ax^(2) +bx+ c=0 ` if :
`b^(2) -4ac =0 `

Text Solution

Verified by Experts

The correct Answer is:
Since `b^(2)- 4ac =0`
Hence roots are real and equal
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Knowledge Check

  • The roots of the quadratic equations ax^(2)+ bx =0 are:

    A
    `0 , -(b)/(a)`
    B
    ` 0,+(b)/(a)`
    C
    ` +(b)/(a) ,-(b)/(a)`
    D
    ` - ( b)/(a),-(b)/(a)`

  • The sum of the roots of the quadratic equations ax^(2) + bx + c=0 is

    A
    `( c )/(a)`
    B
    ` (b)/(a)`
    C
    ` -(b)/(a)`
    D
    ` (a)/(c ) `

  • The nature of the roots of the equations ax^(2) + bx+ c =0 is decided by:

    A
    ` b^(2) - 4ac `
    B
    ` b^(2) + 4ac`
    C
    ` b- 4ac `
    D
    ` b+ 4ac `

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