Mathematics

Question

What is the solution set of the equation x2-3x-10=0

2 Answer

  • x^2-3x-10=0

    (x-5)(x+2) = 0

    x-5= 0 so x = 5

    x+2 = 0 so x = -2

    answer: solutions are x = -2 and x = 5


  • The solution set of the equation are the truth values of the equation.

    The solution set of the equation is {-2,5}

    The equation is given as:

    [tex]\mathbf{x^2 - 3x - 10 = 0}[/tex]

    Expand

    [tex]\mathbf{x^2 +2x - 5x - 10 = 0}[/tex]

    Factorize

    x(x +2) - 5(x + 2) = 0

    Factor out x + 2

    (x - 5) (x + 2) = 0

    Split

    (x - 5) = 0 or (x + 2) = 0

    Solve for x

    x = 5 or x = -2

    Hence, the solution set of the equation is {-2,5}

    Read more about solution sets at:

    https://brainly.com/question/4192789

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