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3x-1/4 -1/x = 3(2x+1)/8

User Zo Has
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Answer:

3x-1/4 -1/x = 3(2x+1)/8

x≠0

3x-1/4-1/x = (6x+3)/8

3x-1/4-1/x-(6x+3)/8 = 0

(24x²-2x-8-6x²-3x)/8x=0

24x²-2x-8-6x²-3x=0

18x²-5x-8=0

To solve the quadratic equation 18x² - 5x - 8 = 0, we can use the quadratic formula. The quadratic formula states that for any equation in the form of ax² + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b² - 4ac)) / 2a

Where:

a = 18

b = -5

c = -8

x = (5 ± √((-5)² - 4 * 18 * (-8))) / 2 * 18

x = (5 ± √(25 + 576)) / 36

x = (5 ± √601) / 36

So, the two solutions for x are: x = (5 + √601) / 36

x = (5 - √601) / 36

Explanation:

User Jan Zerebecki
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