Question

3x^2=(15-3radical3)×radical28-10radical3


x=?​

Answer 1

Răspuns:

Explicație pas cu pas:

$3x^{2}$ =(15-$3\sqrt{3}$)×$\sqrt{28-10\sqrt{3} }$

$3x^{2}$ =(15-$3\sqrt{3}$)×(5-$\sqrt{3}$)

$3x^{2}$ =75-$30\sqrt{3}$+3$(\sqrt{3} )^{2}$

$3x^{2}$ =75-$30\sqrt{3}$+3×3

$3x^{2}$ =75-$30\sqrt{3}$+9

$3x^{2}$ =84-$30\sqrt{3}$

$\frac{3x^{2} }{3}$ = $\frac{84-30\sqrt{3} }{3}$

$x^{2}$ =28-$10\sqrt{3}$

x={5-$\sqrt{3}$, $\sqrt{3}$-5}

Sper ca te am ajutat :)