Question

Find x, if f(x) = g(x) where f(x) = x⁴ + 2x² , g(x) = 11x²

Answer 1

f(x) = x⁴ + 2x² , `"g"(x)` = 11x²
f(x) = g(x)
∴ x⁴ + 2x² = 11x²
∴ x⁴ – 9x² = 0
∴ x² (x² – 9) = 0
∴ x = 0 or x² – 9 = 0
∴ x = 0 or x² = 9
∴ x = 0 or x = ± 3