Anonymous
Anonymous asked in Science & MathematicsMathematics · 8 years ago

Can you solve this maths equation?

X(squared)-3X-10=0

Please include workings out :)

7 Answers

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  • 8 years ago
    Favorite Answer

    X^2-3X-10=0

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

    X = 5 or -2

  • 8 years ago

    X^2 - 3X -10 = 0

    or , X^2 - 5X + 2X - 10 = 0

    take X common in first part and 2 common second part, then

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

    take (x - 5) common, then

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

    thus,

    either (X - 5) = 0 or (X + 2)=0

    for (X - 5) = 0 we get, X = 5

    for (X + 2) = 0 we get, X = - 2

    therefore X= 5 or -2

  • mizoo
    Lv 7
    8 years ago

    Look for two numbers that add to -3 and their product is -10 : +2, -5

    x^2 - 3x - 10 = 0

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

    x = -2, 5

  • Niall
    Lv 7
    8 years ago

    x^2 - 3x - 10 = 0

    As this is a monic equation (meaning x^2 has a value of 1) the factoring will start like this:

    (x ) (x )

    Now take out the sum, product and factors of the equation:

    Sum = -3

    Product = -10

    Factors of the product = +-(1, 2, 5, 10)

    Now from the list of factors you will need to find two numbers that when added together give -3 and when multiplied together give -10, -5 and 2 added together give -3 and multiplied together give -10 so plug those in

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

    For your first solution divide both sides by (x+2):

    x - 5 = 0

    x = 5

    For your second solution divide both sides by (x-5):

    x + 2 = 0

    x = -2

    --------------------

    Overall:

    x = -2, 5

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  • 8 years ago

    x^2 - 3x -10 = 0

    COEFFICIENT OF x^2 = +1

    ( +1) ( -10) = -10

    FIND FACTORS OF -10 WHICH ADD UP TO - 3 ( COEFFICIENT OF x )

    ( +2)(-5) = -10

    x^2 +2x -5x -10 = 0

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

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

    x = 5 OR -2 ANSWER

  • 8 years ago

    x^2-3x-10=0 (first step factor it:)

    (x-5)(x+2)=0 (now for it to equal 0 either factor has to be 0 so:)

    x = {5, -2}

    x can be either 5 or -2

    Source(s): This is called a quadratic equation. You can look up how to factor a quadratic equation if you don't already know how.
  • Cindi
    Lv 5
    8 years ago

    really..?? oh come on.... is this how lazy you guys are?.

    America is over at the Tri-Centenial.. 2076 is goodnight people.

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