select the approximate values of x that are solutions to f(x)=0, where f(x)=-4x^2+6x+9
0 = -4x^2+6x+9
multiplying by -1 on both sides, we get
0 = 4x^2 - 6x -9
now the solution of this above quadratic equation is
0 = (2x-3)(2x-3)
0 = (2x-3)^2
taking square root on both sides, we get
x = 3/2
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