Question

O valor correspondente à soma dos zeros da função y = -x² + 10x - 9 é:​

Answer 1

Resposta:

10

Explicação passo-a-passo:

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$\mathtt{y = - {x}^{2} + 10x - 9 } \\\mathtt{0 = - {x}^{2} + 10x - 9 } \\\mathtt{ - {x}^{2} + 10x - 9 = 0 } \: \: \: \: ( - 1) \\ \mathtt{ {x}^{2} - 10x + 9 = 0 } \\ \mathtt{ {x}^{2} - x - 9x + 9 = 0 } \\ \mathtt{x(x - 1) - 9(x - 1) = 0} \\ \mathtt{(x - 1) \times (x - 9) = 0} \\ \mathtt{x - 1 = 0} \\ \mathtt{x - 9 = 0} \\ \mathtt{x = 1} \\ \mathtt{x = 9} \\\mathtt{1 + 9 = \red {10}}$

$\mathcal{ATT : ARMANDO}$