Question

Determine o valor de X na PG: (X, - $\frac{1}{2} , \frac{3}{4}$ )

Answer 1

Para PG:

$(a,~b,~c)$

$\boxed{b^2=a\cdot c}$

$\Big(-\dfrac{1}{2}\Big)^2=x\cdot\dfrac{3}{4}$

$\dfrac{1}{4}=x\cdot\dfrac{3}{4}$

$x=\dfrac{1}{4}\cdot\dfrac{4}{3}$

$\boxed{\boxed{x=\dfrac{1}{3}}}$