Question

11. Si a" + 729a-4 = 54. Hallar "a ala a"
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Answer 1

Explicación paso a paso:

${a}^{a} + 729 {a}^{ - a} = 54$

${a}^{a} + \frac{729}{{a}^{ a} }= 54$

${({a}^{a})}^{2} + 729= 54 {a}^{a}$

${({a}^{a})}^{2} - 54 ({a}^{a}) + 729=0$

${({a}^{a})}^{2} -2(27)({a}^{a}) + {(27)}^{2} =0$

↑ trinomio cuadrado perfecto

${({a}^{a} - 27) }^{2} = 0$

${a}^{a} - 27 = 0$

${a}^{a} = 27$