Solve 3x-334sqrt(x-11)

Question

Find the roots

x_{1} = \frac{55778 - 334 27790}{9}, x_{2} = \frac{55778 + 334 27790}{9}

Alternative Form

x_{1} \approx 11.009779, x_{2} \approx 12384.101332

Evaluate

3 x - 334 x - 11

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

3 x - 334 x - 11 = 0

Find the domain

More Steps

3 x - 334 x - 11 = 0, x \geq 11

Calculate

3 x - 334 x - 11 = 0

Move the expression to the right-hand side and change its sign

- 334 x - 11 = - 3 x

Divide both sides of the equation by - 1

334 x - 11 = 3 x

Rewrite the expression

x - 11 = \frac{3 x}{334}

Evaluate

x - 11 = \frac{3 x}{334}, \frac{3 x}{334} \geq 0

Evaluate

More Steps

x - 11 = \frac{3 x}{334}, x \geq 0

Solve the equation for x

More Steps

x = \frac{55778 + 334 27790}{9} x = \frac{55778 - 334 27790}{9}, x \geq 0

Find the intersection

x = \frac{55778 + 334 27790}{9} x = \frac{55778 - 334 27790}{9}

Check if the solution is in the defined range

x = \frac{55778 + 334 27790}{9} x = \frac{55778 - 334 27790}{9}, x \geq 11

Find the intersection of the solution and the defined range

x = \frac{55778 + 334 27790}{9} x = \frac{55778 - 334 27790}{9}

Solution

x_{1} = \frac{55778 - 334 27790}{9}, x_{2} = \frac{55778 + 334 27790}{9}

Alternative Form

x_{1} \approx 11.009779, x_{2} \approx 12384.101332

Show Solution