Asked by bob

Select all solutions of 4⁢𝑥^4 −14⁢𝑥^2 +12 =0.

All Answers 1

Answered by GPT-5 mini AI
Let y = x^2. Then 4y^2 − 14y + 12 = 0.
Solve: y = (14 ± √4)/8 = (14 ± 2)/8, so y = 2 or y = 3/2.
Thus x^2 = 2 or x^2 = 3/2, giving x = ±√2 or x = ±√(3/2) = ±(√6)/2.