Linear and Quadratic Product System

Solve the system of equations for $x, y, z$ : $x + 2 y - z = 11$ , $x^{2} - 4 y^{2} + z^{2} = 37$ , $x z = 24$ .

~12 minAnswer checked instantlysystems of equationsquadratic systems

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.c, No. 4

Stuck? A gentle nudge

Something off?

Workspace

Your answer

Loading the math keyboard…

Type naturally — sqrt, pi, / and ^ become notation. Any equivalent form is accepted. Press Enter to check.

Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).