Question

Tentukan himpunan penyelesaian dari pertidaksamaan berikut !

|5x-2|² - 4|5x-2|+3 ≤ 0

Tolong di bantu yahh..

Answer 1

Mathematics
solve 3x^(2)-5x-2=0?
solve 3x^(2)-5x-2=0
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Best Answer (Chosen by Asker)
3x2-5x-2=0


Find the factors such that the product of the factors is the trinomial 3x2-5x-2. This can be done by trial and error and checked using the FOIL method of simplifying polynomials.

(3x+1)(x-2)=0


Set each of the factors of the left-hand side of the equation equal to 0.

3x+1=0


Set each of the factors of the left-hand side of the equation equal to 0.

x-2=0


Since 1 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 1 from both sides.

3x=-1


Divide each term in the equation by 3.

3x/3=-1/3


Simplify the left-hand side of the equation by canceling the common terms.

x=-1/3


Since -2 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 2 to both sides.

x=2