Question

Considere a Expressão Algébrica 5x² + 10x + 1. Qual é o valor final dessa expressão, quando substituímos x por 2?​

Answer 1

Resposta:

41

Explicação passo-a-passo:

5x²+10x+1=Y

5.2²+10.2+1=Y

5.4+20+1=y

20+21=y

41=y

Answer 2

✧ O valor da expressão algébrica será: $\boxed{\begin{array}{lr}\mathbf{41}\end{array}}$.

↬ Hey cherry, na expressão algébrica temos de substituir o valor de x por 2, e assim, calcular!

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{5 \times 2 {}^{2} + 10 \times 2 + 1 }}\end{array}}}}}\end{gathered}$

↬ Escreva a exponenciação como uma multiplicação, e multiplique...

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2 \times 2 = 4}}\end{array}}}}}\end{gathered}$

↬ Obtendo:

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{5 \times 4 + 10 \times 2 + 1}}\end{array}}}}}\end{gathered}$

↬ Multiplique os números.

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{5 \times 4 + 20 + 1}}\end{array}}}}}\end{gathered}$

↬ Multiplique novamente.

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{20 + 20 + 1}}\end{array}}}}}\end{gathered}$

↬ Some...

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{40 + 1}}\end{array}}}}}\end{gathered}$

↬ E some...

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{41}}\end{array}}}}}\end{gathered}$

↬ Cálculo completo:

${{\red{\boxed{\begin{array}{lr}\mathbf{5 \times 2 {}^{2} + 10 \times 2 + 1} \\\mathbf{5 \times 4 + 10 \times 2 + 1} \\ \mathbf{5 \times 4 + 20 + 1} \\\mathbf{20 + 20 + 1} \\ \mathbf{40 + 1} \\\mathbf{41} \end{array}}}}}$

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${\red{\boxed{\begin{array}{lr}\mathbf{BY:LOHANY \: EVAN}\end{array}}}}$