if x =3+√5+√6 , then what is the value of x^4-12x^3+32x^2+24x
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Answer:
116
Step-by-step explanation:
x - 3 = √5 + √6
(x - 3)² = (√5 + √6)²
x² -6x +9 = 11 + 2√30
(x² - 6x - 2)² = (2√30)²
x⁴ - 12x³ + 32x² + 24x = 116
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