Question

O valor da raiz da equação 1x2 – 7x + 12 = 0 é igual a:

a) {- 3,- 3}

b) { 3, 4 }

c) { 4,- 5}

d) { 4, - 3}


alguém me ajuda pfvr.​

Answer 1

Resposta:

OLÁ

VAMOS A SUA PERGUNTA:⇒⇒

$\sf \iff 1x^2-7x+12=0$

$\sf \iff Formato \iff \boxed{\sf x^2+bx=c.}$

$\iff \underbrace{ \sf Resolvendo}$

$\sf \iff 1x^2-7x+12=0$

$\sf \iff x^2-7x+12=0$

$\sf \iff x^2-7x+12-12=-12$

$\sf \iff x^2-7x=-12$

$\sf \iff x^2-7x+\left(-\dfrac{7}{2}\right)^2=-12+ \left(-\dfrac{7}{2}\right)^2$

$\sf \iff x^2-7x+\dfrac{49}{4}=-12+ \dfrac{49}{4}$

$\sf \iff x^2-7x+\dfrac{49}{4}= \dfrac{1}{4}$

$\sf \iff \left(x-\dfrac{7}{2} \right)^2=\dfrac{1}{4}$

$\sf \iff \sqrt{ \left(x-\dfrac{7}{2} \right)^2}=\sqrt{\dfrac{1}{4} }$

$\sf \iff x-\dfrac{7}{2}=\dfrac{1}{2} \\\\\sf \iff x-\dfrac{7}{2}=-\dfrac{1}{2}$

$\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese\ \sf \red{x=3}}}}\ \checkmark\\\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese\ \sf \red{x=4}}}}\ \checkmark$←←↑↑ RESPOSTA. .^.

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