Question

Решите уравнение B) (2x ^ 2 - 1)/8 - (x + 4)/12 = (x ^ 2 - 2)/4

Answer 1

Відповідь:

0,5

Пояснення:

Answer 2

$\displaystyle\bf\\\frac{2x^{2} -1}{8} -\frac{x+4}{12} =\frac{x^{2} -2}{4} \\\\\\\frac{2x^{2} -1}{8} \cdot 24-\frac{x+4}{12} \cdot 24=\frac{x^{2} -2}{4} \cdot 24\\\\\\(2x^{2} -1)\cdot 3-(x+4)\cdot 2=(x^{2} -2)\cdot 6\\\\\\6x^{2}-3-2x-8=6x^{2}-12\\\\\\6x^{2} -2x-6x^{2} =-12+3+8\\\\\\-2x=-1\\\\\\\boxed{x=0,5}$