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What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

What are the solutions to the quadratic equation 4(x + 2)2 = 36

Mischa wrote the quadratic equation 0 = –x2 + 4x – 7 in standard form. What is the value of c in her equation?

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  1. the usual way to type a power is to use the ^ to show exponents,
    e.g.
    x^2 is "x squared"

    0 = −2x^2 − 3x + 8 in standard form is
    2x^2 + 3x - 8 = 0

    so b^2 - 4ac = 9 - 4(2)(-8) = ......

    4(x + 2)^2 = 36
    divide both sides by 4
    (x+2)^2 = 9
    x+2 = ±√9
    x = -2 ± 3
    = -5 or 1

    after looking at the above stuff, you should be able to answer your last question

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