Use the quadratic formula to solve x2 – 5x – 2 = 0.​

Question

Use the quadratic formula to solve x2 – 5x – 2 = 0.​

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Vivian 1 month 2021-10-20T20:28:40+00:00 1 Answer 0 views 0

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    2021-10-20T20:29:56+00:00

    Answer:

    x=-0.37 or 5.37

    Step-by-step explanation:

    The quadratic formula is;

    x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a}

    The expression to be solved is

     {x}^{2} - 5x - 2 = 0

    Comparing this to the general form of the quadratic equation,

     a{x}^{2} + bx + c = 0

    a=1, b=-5 and c =-2.

    We substitute these values into the quadratic formula

     \implies x = \frac{ - ( - 5)\pm \sqrt{ { (- 5)}^{2} - 4(1)( - 2)} }{2(1)}

    Simplifying we obtain,

     x = \frac{ 5\pm \sqrt{25  + 8}}{2}

     \implies x = \frac{ 5\pm \sqrt{28}}{2}

     \implies x =  \frac{5 + 2\sqrt{7} }{2}or \frac{5 - 2 \sqrt{7} }{2}

    \implies x =  \frac{5}{2}  + \sqrt{7} or \frac{5 }{2} -  \sqrt{7}

    x=5.37 or -0.37

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