9 x square - 6 b square x minus (A^4 - b ^ 4)=0
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x = (b² ± a² )) / 3 or (b² + a²)/3 & (b² - a²)/3 if 9x² - 6b²x - (a⁴ - b⁴) = 0
Step-by-step explanation:
9x² - 6b²x - (a⁴ - b⁴) = 0
=> 9x² - 6b²x + (b⁴ - a⁴ )
x = (6b² ± √(36b⁴ - 4*9(b⁴ - a⁴ )) / 2*9
=> x = (6b² ± √(36b⁴ - 36b⁴ + 36a⁴ )) / 18
=> x = (6b² ± √(36a⁴ )) / 18
=> x = (6b² ± 6a² )) / 18
=> x = (b² ± a² )) / 3
x = (b² + a²)/3 or (b² - a²)/3
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