Question

qual e a raiz de ×2=49
é 3×2=48
é 4×2-100=0
é 5×2=45​

Answer 1

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$\Huge\green{\boxed{\rm~~~\red{ A)}~\gray{x}~\pink{=}~\blue{\pm 7}~~~}}$

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$\Huge\green{\boxed{\rm~~~\red{ B)}~\gray{x}~\pink{=}~\blue{ \pm 4 }~~~}}$

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$\Huge\green{\boxed{\rm~~~\red{ C)}~\gray{x}~\pink{=}~\blue{\pm 5 }~~~}}$

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$\Huge\green{\boxed{\rm~~~\red{ D)}~\gray{x}~\pink{=}~\blue{ \pm 3 }~~~}}$

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$\bf\large\green{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad}}$

$\green{\rm\underline{EXPLICAC_{\!\!\!,}\tilde{A}O\ PASSO{-}A{-}PASSO\ \ \ }}$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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☺lá, Mary, como tens passado nestes tempos de quarentena⁉ E os estudos à distância, como vão⁉ Espero que bem❗ Acompanhe a resolução abaixo, feita através de algumas manipulações algébricas, e após o resultado você encontrará um link com mais informações sobre Manipulação Algébrica e outro sobre Potenciação e Radiciação que talvez te ajude com exercícios semelhantes no futuro. ✌

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Ⓐ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\Large\gray{\boxed{\rm\blue{ x^2 = 49 }}}$

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➡ $\large\sf\blue{ x^2 = 7^2 }$

➡ $\large\sf\blue{ \sqrt[2]{x^2} = \pm \sqrt[2]{7^2} }$

➡ $\large\sf\blue{ x^{\frac{2}{2}} = \pm 7^{\frac{2}{2}} }$

➡ $\large\sf\blue{ x^1 = \pm 7^1 }$

➡ $\large\sf\blue{ x = \pm 7 }$

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$\Huge\green{\boxed{\rm~~~\red{ A)}~\gray{x}~\pink{=}~\blue{\pm 7}~~~}}$ ✅

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Ⓑ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\Large\gray{\boxed{\rm\blue{ 3 \cdot x^2 = 48 }}}$

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➡ $\large\sf\blue{ x^2 = \dfrac{48}{3} }$

➡ $\large\sf\blue{ x^2 = 16 }$

➡ $\large\sf\blue{ x^2 = 4^2 }$

➡ $\large\sf\blue{ \sqrt[2]{x^2} = \pm \sqrt[2]{4^2} }$

➡ $\large\sf\blue{ x^{\frac{2}{2}} = \pm 4^{\frac{2}{2}} }$

➡ $\large\sf\blue{ x^1 = \pm 4^1 }$

➡ $\large\sf\blue{ x = \pm 4 }$

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$\Huge\green{\boxed{\rm~~~\red{ B)}~\gray{x}~\pink{=}~\blue{ \pm 4 }~~~}}$ ✅

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Ⓒ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\Large\gray{\boxed{\rm\blue{ 4 \cdot x^2 - 100 = 0 }}}$

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➡ $\large\sf\blue{4 \cdot x^2 = 100 }$

➡ $\large\sf\blue{ x^2 = \dfrac{100}{4} }$

➡ $\large\sf\blue{ x^2 = 25 }$

➡ $\large\sf\blue{ x^2 = 5^2 }$

➡ $\large\sf\blue{ \sqrt[2]{x^2} = \pm \sqrt[2]{5^2} }$

➡ $\large\sf\blue{ x^{\frac{2}{2}} = \pm 5^{\frac{2}{2}} }$

➡ $\large\sf\blue{ x^1 = \pm 5^1 }$

➡ $\large\sf\blue{ x = \pm 5 }$

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$\Huge\green{\boxed{\rm~~~\red{ C)}~\gray{x}~\pink{=}~\blue{\pm 5 }~~~}}$ ✅

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Ⓓ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\Large\gray{\boxed{\rm\blue{ 5 \cdot x^2 = 45 }}}$

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➡ $\large\sf\blue{ x^2 = \dfrac{45}{5} }$

➡ $\large\sf\blue{ x^2 = 9 }$

➡ $\large\sf\blue{ x^2 = 3^2 }$

➡ $\large\sf\blue{ \sqrt[2]{x^2} = \pm \sqrt[2]{3^2} }$

➡ $\large\sf\blue{ x^{\frac{2}{2}} = \pm 3^{\frac{2}{2}} }$

➡ $\large\sf\blue{ x^1 = \pm 3^1 }$

➡ $\large\sf\blue{ x = \pm 3 }$

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$\Huge\green{\boxed{\rm~~~\red{ D)}~\gray{x}~\pink{=}~\blue{ \pm 3 }~~~}}$ ✅

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$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$

✈  Manipulação Algébrica (https://brainly.com.br/tarefa/37266101)

✈  Potenciação e Radiciação (https://brainly.com.br/tarefa/36120526)

$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$☁

☕ $\bf\Large\blue{Bons\ estudos.}$

($\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios}$) ☄

$\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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$\gray{"Absque~sudore~et~labore~nullum~opus~perfectum~est."}$