Question

Si a+b=5 y ab=7. Indique el valor de: (a²+b²)²
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Answer 1

Explicación paso a paso:

Binomio al cuadrado:

$( a + {b)}^{2} = {a}^{2} + 2ab + {b}^{2}$

$(a + b {)}^{2} = {(5)}^{2}$

${a}^{2} + 2ab + {b}^{2} = 25$

${a}^{2} + {b}^{2} + 2(7) = 25$

${a}^{2} + {b}^{2} + 14 = 25$

${a}^{2} + {b}^{2} = 25 - 14$

${a}^{2} + {b}^{2} = 11$

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