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what are solutions & roots Watch

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    I am working on a maths question and it asks:

    how many solutions does 0=xx+2x+1 have"

    this surely has two indistinct roots, does that mean it has one or two solutions?
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    (Original post by Rowanstruggling)
    I am working on a maths question and it asks:

    how many solutions does 0=xx+2x+1 have"

    this surely has two indistinct roots, does that mean it has one or two solutions?
    The quadratic has a repeated root, and equation has only one solution, x=-1
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    At MOST, a quadratic can have two distinct roots (if you are only seeking real roots).

    This is the value of x when:  ax^{2} + bx + c = 0.

    One way to check is using the discriminant  b^{2} - 4ac, and seeing if it is greater then zero, equal to zero or less than zero.
    (Note the discriminant appears in the quadratic equation with the square root operation applied to it, which indicates the number of distinct real roots).

    In this case though, we can factorise your given quadratic easily and see there is only one distinct root.
 
 
 
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