Solve (1-2(7t))/(7t^((1)/(2)))

Evaluate

\frac{1 - 2 ( 7 t )}{7 t ^{\frac{1}{2}}}

To find the roots of the expression,set the expression equal to 0

\frac{1 - 2 ( 7 t )}{7 t ^{\frac{1}{2}}} = 0

Find the domain

More Steps

\frac{1 - 2 ( 7 t )}{7 t ^{\frac{1}{2}}} = 0, t > 0

Calculate

\frac{1 - 2 ( 7 t )}{7 t ^{\frac{1}{2}}} = 0

Multiply the terms

\frac{1 - 2 \times 7 t}{7 t ^{\frac{1}{2}}} = 0

Multiply the numbers

\frac{1 - 14 t}{7 t ^{\frac{1}{2}}} = 0

Cross multiply

1 - 14 t = 7 t^{\frac{1}{2}} \times 0

Simplify the equation

1 - 14 t = 0

Move the constant to the right side

- 14 t = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

- 14 t = - 1

Change the signs on both sides of the equation

14 t = 1

Divide both sides

\frac{14 t}{14} = \frac{1}{14}

Divide the numbers

t = \frac{1}{14}

Check if the solution is in the defined range

t = \frac{1}{14}, t > 0

Solution

t = \frac{1}{14}

Alternative Form

t = 0.0 \dot{7} 1428 \dot{5}

Simplify the expression