Math Problem?

Find the solution set.

8x^2 - 2x - 3 = 0

Comments

  • 8x^2 - 2x - 3 = 0....factor the polynomial

    (4x -3)(2x + 1) = 0...set each factor equal to zero and solve

    4x - 3 = 0 2x + 1 = 0

    4x = 3 2x = -1

    x = 3/4 x = -1/2

    {-1/2, 3/4}

  • Its too easy.

    8x^2 - 2x - 3 = 0

    => 8x^2 - 4x + 6x - 3 = 0

    => 4x(2x - 1) + 3(2x - 1)

    => (4x + 3) (2x - 1)

    => 4x + 3 = 0 or 2x - 1 = 0

    => x = -3/4 or x = 1/2

    I hope it is helpful.

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  • You can also use the quadratic formula noting that

    a = 8

    b = -2

    c = -3

    and your answers will be

    x = 3/4 AND

    x = -1/2

  • (2x+1)(4x-3)

    x = -1/2 or 3/4

  • 8x^2-6x+4x-3=0

    2x(4x-3)+1(4x-3)=0

    (2x+1)(4x-3)=0

    2x+1=0 or 4x-3=0

    x=-1/2 or 3/4

    Solution set(-1/2, 3/4)

  • this is in the form ax^2+bx+c

    so use the formula -b+((b^2-4ac)^(1/2)/2a) and

    -b-((b^2-4ac)^(1/2)/2a)... substitute the values accordingly and u 'll get the two roots as

    2 +((92)^(1/2))/6 and 2 -((92)^(1/2))/6

  • x={-.5, .75}

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