What is the answer to (3t)/(t^2-6)=sqrt(3) ?

The answer to (3t)/(t^2-6)=sqrt(3) is t=2sqrt(3),t=-sqrt(3)

Solve for t: (3t)/(t^2-6)=sqrt(3)

The solution is t=2sqrt(3),t=-sqrt(3)

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\frac{3 t}{t ^{2} - 6} = 3

t = 23, t = - 3

Decimal Notation

t = 3.46410 \dots, t = - 1.73205 \dots

Solution steps

\frac{3 t}{t ^{2} - 6} = 3

Multiply both sides by

t^{2} - 6

3 t = 3 (t^{2} - 6)

Solve

3 t = 3 (t^{2} - 6) : t = 23, t = - 3

t = 23, t = - 3

Verify Solutions

Find undefined (singularity) points:

t = 6, t = - 6

Combine undefined points with solutions:

t = 23, t = - 3

\frac{1}{6 y - 1} = 3

\frac{1}{4} = \frac{400}{x ^{2}}

54.3 = \frac{2 x}{( 0.05 - x ) ^{2}}

y, x = \frac{4 y}{y - 2}

\frac{1}{- b + 3} = \frac{b}{2}

What is the answer to (3t)/(t^2-6)=sqrt(3) ?
The answer to (3t)/(t^2-6)=sqrt(3) is t=2sqrt(3),t=-sqrt(3)
Solve for t: (3t)/(t^2-6)=sqrt(3)
The solution is t=2sqrt(3),t=-sqrt(3)