HELP PLZ Which are the solutions of x2 = –7x – 8? StartFraction 7 Over 2 EndFraction minus StartFraction StartRoot 17 EndRoot

Question

HELP PLZ
Which are the solutions of x2 = –7x – 8?
StartFraction 7 Over 2 EndFraction minus StartFraction StartRoot 17 EndRoot Over 4 EndFraction comma StartFraction 7 Over 2 EndFraction + StartFraction StartRoot 17 EndRoot Over 4 EndFraction StartFraction negative 7 Over 2 EndFraction minus StartFraction StartRoot 17 EndRoot Over 4 EndFraction comma StartFraction negative 7 Over 2 EndFraction + StartFraction StartRoot 17 EndRoot Over 4 EndFraction StartFraction 7 minus StartRoot 17 EndRoot Over 2 EndFraction comma StartFraction 7 + StartRoot 17 EndRoot Over 2 EndFraction StartFraction negative 7 minus StartRoot 17 EndRoot Over 2 EndFraction comma StartFraction negative 7 + StartRoot 17 EndRoot Over 2 EndFraction

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Vivian 2 weeks 2021-11-23T12:25:04+00:00 2 Answers 0

Answers ( )

    0
    2021-11-23T12:26:19+00:00

    Answer:

    x=\frac{-7-\sqrt{17}}{2}\textrm{ or }x=\frac{-7+\sqrt{17}}{2}

    Step-by-step explanation:

    Given:

    The equation is given as:

    x^2=-7x-8

    Rearrange the above equation in standard quadratic equation of the form ax^2+bx+c=0

    Adding 7x + 8 on both sides, we get

    x^2+7x+8=0

    Here, a=1,b=7,c=8

    Now, we solve this using quadratic formula,

    x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x=\frac{-7\pm \sqrt{7^2-4(1)(8)}}{2(1)}\\x=\frac{-7\pm \sqrt{49-32}}{2}\\x=\frac{-7\pm \sqrt{17}}{2}\\\\\\\therefore x=\frac{-7-\sqrt{17}}{2}\textrm{ or }x=\frac{-7+\sqrt{17}}{2}

    0
    2021-11-23T12:26:36+00:00

    Answer:  option D.

    Step-by-step explanation:got a 100 on it

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