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2.5E: Quadratic Equations (Exercises)

  • Page ID
    56066
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    For the following exercises, solve the quadratic equation by factoring.

    40. \(2 x^{2}-7 x-4=0\)
    41. \(3 x^{2}+18 x+15=0\)
    42. \(25 x^{2}-9=0\)
    43. \(7 x^{2}-9 x=0\)

    For the following exercises, solve the quadratic equation by using the square-root property.

    44. \(x^{2}=49\)
    45. \((x-4)^{2}=36\)

    For the following exercises, solve the quadratic equation by completing the square.

    46. \(x^{2}+8 x-5=0\)
    47. \(4 x^{2}+2 x-1=0\)

    For the following exercises, solve the quadratic equation by using the quadratic formula. If the solutions are not real, state No real solution.

    48. \(2 x^{2}-5 x+1=0\)
    49. \(15 x^{2}-x-2=0\)

    For the following exercises, solve the quadratic equation by the method of your choice.

    50. \((x-2)^{2}=16\)
    51. \(x^{2}=10 x+3\)


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