Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

Solve x2 + 7x + 6 = 0 for x?

Solve x2 + 7x + 6 = 0 for x

19 Answers

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  • 1 decade ago
    Favorite Answer

    x² + 7x + 6 = 0

    (x + 6) (x + 1)

    - - - - - - - - -

    Roots

    x + 6 = 0

    x + 6 - 6 = 0 - 6

    x = - 6

    - - - - -

    x + 1 = 0

    x + 1 - 1 = 0 - 1

    x = - 1

    - - - - - - -

    x = - 6

    or

    x = - 1

    - - - - - - - -s-

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  • Philo
    Lv 7
    1 decade ago

    x² + 7x + 6 = 0

    x² + 7x = -6

    x² + 7x + (7/2)² = -6 + (7/2)²

    (x + 7/2)² = -24/4 + 49/4

    (x + 7/2)² = 25/4

    x + 7/2 = ± 5/2

    x = -7/2 + 5/2 or x = -7/2 - 5/2

    x = -2/2 or x = -12/2

    x = -1 or x = -6

    that's completing the square, which always works, but factoring, when it works, is easier.

    x² + 7x + 6 = 0

    (x + 6)(x + 1) = 0

    x + 6 = 0 or x + 1 = 0

    x = -6 or x = -1

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  • 1 decade ago

    x^2 + 7x + 6 = 0

    (x + 1)(x + 6) = 0

    (x + 1) = 0 or (x + 6) = 0

    x = -1 x = -6

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  • 1 decade ago

    just sustitute

    0 x 2 + 7 x 0 + 6 = 20

    multiply 2 and 7 by 0 then add the products then add 6!

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  • 1 decade ago

    I assume X2 means X^2 and it is a quadratic equation.

    factor or use the quadratic formula

    I chose to factor as it factors easily w/o doing a lot of algebra

    (X+1)(X+6)=0 therefore:

    X= -1

    and X= -6

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  • 1 decade ago

    x^2 + 7x + 6 = 0

    (x + 1)(x + 6) = 0

    x = -1 or -6

    If you aren't certain of an answer, you can always do this.

    x = (-b ± sqrt(b^2 - 4ac))/(2a)

    x = (-7 ± sqrt(7^2 - 4(1)(6)))/(2(1))

    x = (-7 ± sqrt(49 - 24))/2

    x = (-7 ± sqrt(25))/2

    x = (-7 ± 5)/2

    x = (-12/2) or (-2/2)

    x = -6 or -1

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  • 1 decade ago

    x^2 + 7x + 6 = 0

    (x+6)(x+1)=0

    x+6=0

    x=-6

    x+1=0

    x=-1

    x=-6, -1

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  • Anonymous
    1 decade ago

    x ^2+7x+6

    =x^2+x+6x+6

    =x(x+1)+6(x+1)

    =(x+1)(x+6)

    i.e,x=-1 or x=-6

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  • 1 decade ago

    (x+1) (x+6) =0

    divide first by x +6

    x+1 = 0

    x = -1

    next divide top equation by x +1

    then, x+6 =0

    x= -6

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  • 1 decade ago

    (x + 6)(x + 1) = 0

    x = -6 or x = -1

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