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10 cards from this deck
Equations with a quadratic hidden inside them
Substitution with simpler variable like uuu
u=x2u = x^2u=x2, so u2=x4u^2 = x^4u2=x4
u=xu = \sqrt{x}u=x, so u2=xu^2 = xu2=x
Substitute, Solve for uuu, Substitute back
x=±3x = \pm\sqrt{3}x=±3
x=4x = 4x=4
Square roots must be non-negative (≥0\geq 0≥0)
No real roots
Square numbers cannot be negative
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