Solve {l}{q=p^2}{p=r^2}{r=x^2}{x=-1}

$$\left. \begin{array} { l } { q = p ^ { 2 } } \\ { p = r ^ { 2 } } \\ { r = x ^ { 2 } } \\ { x = - 1 } \end{array} \right.$$

Solve for q, p, r, x

$$x=-1$$

$$r=1$$

$$q=1$$

$$p=1$$

Solution Steps

Consider the third equation. Insert the known values of variables into the equation.

$$r=\left(-1\right)^{2}$$

Calculate -1 to the power of 2 and get 1.

$$r=1$$

Consider the second equation. Insert the known values of variables into the equation.

$$p=1^{2}$$

Calculate 1 to the power of 2 and get 1.

$$p=1$$

Consider the first equation. Insert the known values of variables into the equation.

$$q=1^{2}$$

Calculate 1 to the power of 2 and get 1.

$$q=1$$

The system is now solved.

$$q=1 p=1 r=1 x=-1$$