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11 cards from this deck
Equations with a quadratic hidden inside them
Substitute complex terms with simpler variable (e.g., uuu)
Let u=x2u = x^2u=x2, so u2=x4u^2 = x^4u2=x4
Let u=sqrtxu = sqrt{x}u=sqrtx, so u2=xu^2 = xu2=x
Square roots must be positive
x=pmsqrt3x = pmsqrt{3}x=pmsqrt3
x=4x = 4x=4
No, square numbers cannot be negative
After substitution, uuu values are negative (no real xxx)
Substitute back to find original variable
Substitute u=x2u = x^2u=x2 to get u2−5u+6=0u^2 - 5u + 6 = 0u2−5u+6=0
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