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4x2 −3*5/2x+ 5/3 =0. 8 Класс

Автор Hmat, Март 30, 2024, 01:50

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Hmat

У меня имеется вопрос. 4x2 −3*5/2x+ 5/3 =0

Moha

Ответ такой:::X=45/58
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4x^2 - (15/2)x + (5/3) = 0

To simplify the equation, we can multiply all terms by 6 to get rid of the fractions:

24x^2 - 45x + 10 = 0

Now, we can solve the quadratic equation using the quadratic formula:

x = [-(-45) ± √((-45)^2 - 4*24*10)] / 2*24
x = [45 ± √(2025 - 960)] / 48
x = [45 ± √1065] / 48
x = (45 ± √1065) / 48

Therefore, the solutions to the equation 4x^2 - (15/2)x + (5/3) = 0 are:
x = (45 + √1065) / 48
x = (45 - √1065) / 48
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4x2 − 3*5/2 * x + 5/3 = 0,

4x2 − 15/2 * x + 5/3 = 0,

D = (15/2)2 - 4 * 4 * 5/3 = 225/4 - 80/3 = (675 - 320)/12 = 355/12.

х1 = (15/2 + 5, 43)/(2 * 4) = 1, 61.

х2 = (15/2 - 5, 43)/(2 * 4) = 0,25.