Question

3t-2/4 -2t+3/3 = 2/3-t​

Answer 1

Answer:

I don't know

Step-by-step explanation:

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Answer 2

To Find :

The value of t in the given equation

Given :

$\tt{ \frac{3t - 2}{4} - \frac{2t + 3}{3} = \frac{2}{3 - t} }$

Solution :

$\tt{ \implies \tt{ \frac{3(3t - 2) - 4(2t + 3)}{4 \times 3} = \frac{2}{3 - t} }}$

$\implies \tt{ \frac{(9t - 6) - (8t + 12)}{12} = \frac{2}{3 - t} }$

$\implies \tt{ \frac{9t - 6 - 8t - 12}{12} = \frac{2}{3 - t}}$

$\implies \tt{ \frac{t - 18}{12} = \frac{2}{3 - t} }$

$\implies \tt{(t - 18) (3 - t) = 2 \times 12}$

$\implies \tt{(t - 18)(3 - t) = 24}$

$\tt{ \implies - {t}^{2} + 18t + 3t - 54 = 24}$

$\implies \tt{ - {t}^{2} + 21t - 54 - 24 = 0}$

$\tt{ \implies - {t}^{2} + 21t - 78 = 0}$

$\tt{ \implies - {t}^{2} + 16.18t + 4.82t - 78 = 0}$

$\tt{ \implies t(16.18 - t) - 4.82(16.18 - t) = 0}$

$\implies \tt{(t - 4.82)(16.18 - t) = 0}$

Hence, the values of t can be :

• t = 4.82
• t = 16.18

Hence, the roots of the equation are 4.82 and 16.18

See the graph also

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