What are the solutions to the inequality (x-3)(x+5)less than or equal to 0

-5 _> x  _< 3

Step-by-step explanation:

(x-3)(x+5)less than or equal to 0

(x -3)(x+5) <_ 0

x-3 _< 0  or x + 5_< 0

x _< 3  or x _<  -5

Therefore

-5 _> x  _< 3

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step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)