Question

Como eu Resolvo quando ficar assim?
$\frac{ \times }{4} = \frac{6}{ \times + 3}$
N entendi ;-;​

Answer 1

• multiplicando cruzado teremos

$\sf{\dfrac{x}{4}=\dfrac{6}{x+3}}$

$\small{\sf{x\cdot(x+3)=4\cdot6}}$

$\sf{x^{2}+3x=24}$

$\small{\sf{x^{2}+3x-24=0}}$

• Identificando os coeficientes

$\sf{a=1}$

$\sf{b=3}$

$\small{\sf{c=-24}}$

• Encontrando o discriminante

$\sf{\Delta=b^{2}-4.a.c}$

$\small{\sf{\Delta=(3)^{2}-4.(1).(-24)}}$

$\sf{\Delta=9+96}$

$\sf{\Delta=105}$

• Encontrando suas raízes dela

$\small{\sf{x'=[-(3)+\sqrt{105}]/2.(1)}}$

$\small{\red{\sf{x'=[-3+\sqrt{105}]/2}}}$

$\small{\sf{x"=[-(3)-\sqrt{105}]/2.(1)}}$

$\small{\red{\sf{x"=[-3-\sqrt{105}]/2}}}$

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