Solve the equation : 4x² - 4a²x + (a⁴ - b⁴) = 0.

Question

asked Jun 9, 2024 30.2k views

1 Answer

Unbalanced · Answer 1 · 2024-06-16T12:46:13+0000

Answer:

x = (4a² ± √(16a⁴ - 4(4)(a⁴ - b⁴))/(2(4))

= (4a² ± √(16a⁴ - 16a⁴ + 16b⁴))/8

= (4a² ± 4b²)/8

= (a² ± b²)/2