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Select the approximate values of x that are solutions to f(x) = 0, where
f(x) = -2x^2 + 5x + 7.

a) {3.50, –1.00}

b) {-2, 5}

c) {–2.50, –3.50}

d) {–0.29, 0.71}

  • math -

    The roots p,q, of the equation
    ax²+bx+c=0
    have the properties that:
    p*q = c/a
    p+q =-b/a
    Check each of the solution sets above,
    c/a=-3.5
    If p*q ≠ -3.5, then p and q are not solutions to the equation.
    If p*q = -3.5, then check if p+q = -b/a=2.5.
    If both conditions are satisfied, p and q form the solution set to the equation.

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