What number to the power of -2 gives you (4/25)

x = -5/2 ,  5/2

Step-by-step explanation:

x^ -2 = 4/25

negative exponents means flip from numerator to denominator ( or vice versa)

(1/x) ^2 = 4/25

take the square root of each side  (remember you get a positive and negative result)

sqrt(1/x) = sqrt(4/25)

1/x = + 2/5                                 1/x = -2/5

multiply each side by x

1 = + 2/5 x                                  1  = -2/5 x

multiply by 5/2                   multiply by -5/2

5/2 = + 2/5 x * 5/2               -5/2 = -2/5 x *- 5/2

5/2 = + x                                -5/2 = x

x = 5/2 , -5/2

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step-by-step explanation:

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.