Solve x-42\sqrt x-1=0

Question

Solve the equation

x = 883 + 88 3^{2} - 1

Alternative Form

x \approx 1765.999434

Evaluate

x - 42 x - 1 = 0

Find the domain

x - 42 x - 1 = 0, x \geq 0

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

- 42 x = - x + 1

Rewrite the expression

x = \frac{x - 1}{42}

Evaluate

x = \frac{x - 1}{42}, \frac{x - 1}{42} \geq 0

Evaluate

More Steps

x = \frac{x - 1}{42}, x \geq 1

Solve the equation for x

More Steps

x = 883 + 88 3^{2} - 1 x = 883 - 88 3^{2} - 1, x \geq 1

Find the intersection

x = 883 + 88 3^{2} - 1

Check if the solution is in the defined range

x = 883 + 88 3^{2} - 1, x \geq 0

Find the intersection of the solution and the defined range

x = 883 + 88 3^{2} - 1

Solution

More Steps

x = 883 + 88 3^{2} - 1

Alternative Form

x \approx 1765.999434

Show Solution