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Algebra II Solve equations?

Solve: Simplify the radical answers and round three decimal places:

1) -2|7x| ≥ 46

2) 3x^2 + 5 = 65

3) -2(x+7)^2 = -34

4) x^2 + 15x + 50 = 0

5) x^2 - 4x + 1 = 20 -7

6) 3x^2 + 5x + 2 = 0

2 Answers

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  • Tytus
    Lv 6
    8 years ago
    Favorite Answer

    1) -2|7x| ≥ 46

    -14x >_ 46

    x >_ 46 /-14

    x >_ -3.286 (to 3 d.p.)

    2) 3x^2 + 5 = 65

    3x^2 = 60

    x^2 = 20

    x = root 20

    x = 4.472 (to 3 d.p.)

    3) -2(x+7)^2 = -34

    -2 ((x+7)(x+7)) = -34

    -2 ( x^2 + 7x + 7x + 49) = -34

    -2 ( x^2 + 14x + 49) = - 34

    -2x^2 - 28x - 98 = - 34

    -2x^2 - 28x -64 = 0

    impossible to solve

    4) x^2 + 15x + 50 = 0

    (x + 10)(x + 5)

    x = -10

    and

    x = -5

    5) x^2 - 4x + 1 = 20 -7

    x^2 - 4x + 1 = 13

    x^2 - 4x - 12 = 0

    ( x - 6)( x + 4)

    x = 6

    and

    x = -4

    6) 3x^2 + 5x + 2 = 0

    (3x + 2)(x + 1)

    3x = -2

    x = (-2 /3)

    and x = -1

    Hope this helps!

  • Anonymous
    4 years ago

    3x^2 + 9x - 12 = 0 element out a three 3(x^2 + 3x - 4) = 0 3(x+4)(x-a million) = 0 considered one of the two numbers would desire to be equivalent to 0 x+4 = 0; x = -4 x-a million = 0; x=a million those are your 2 solutions! solid success - M

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