What is the answer to | 3/4 K-3/2 |= 5/6 ?

The answer to | 3/4 K-3/2 |= 5/6 is K= 8/9 \lor K= 28/9

Solve for K: | 3/4 K-3/2 |= 5/6

The solution is K= 8/9 \lor K= 28/9

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\frac{3}{4} K - \frac{3}{2} = \frac{5}{6}

K = \frac{8}{9} or K = \frac{28}{9}

Decimal Notation

K = 0.88888 \dots, K = 3.11111 \dots

Solution steps

\frac{3}{4} K - \frac{3}{2} = \frac{5}{6}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{3}{4} K - \frac{3}{2} = - \frac{5}{6} or \frac{3}{4} K - \frac{3}{2} = \frac{5}{6}

\frac{3}{4} K - \frac{3}{2} = - \frac{5}{6} or \frac{3}{4} K - \frac{3}{2} = \frac{5}{6}

K = \frac{8}{9} or K = \frac{28}{9}

\frac{x}{9} - \frac{y}{9}

3 - x \geq 0

\frac{x}{5} + \frac{3}{4} = 4

(5 x^{3}) (9 x^{2})

\frac{x}{- 4} > - 4

What is the answer to | 3/4 K-3/2 |= 5/6 ?
The answer to | 3/4 K-3/2 |= 5/6 is K= 8/9 \lor K= 28/9
Solve for K: | 3/4 K-3/2 |= 5/6
The solution is K= 8/9 \lor K= 28/9