if x = 3+√5+√6 , then what is the value of x^4-12x^3+32x^2+24x
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0
Answer:
116
Step-by-step explanation:
=x⁴-12x³+32x²+24x
=(3+√5+√6)⁴-12(3+√5+√6)³+32(3+√5+√6)²+24(3+√5+√6)
=(3+√5+√6)(3+√5+√6)(3+√5+√6)(3+√5+√6) -12(3+√5+√6)(3+√5+√6)(3+√5+√6) +32(3+√5+√6)(3+√5+√6) +24(3+√5+√6)
=3489.004698-12(453.9689669)+32(59.06779747)+24(7.68555772)
=3489.004698-5447.627603+1890.169519+184.4533853
=116
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