Question

$\sqrt{3x^{2} -5x-12 =10$

Answer 1

Ответ:

Пошаговое объяснение:

$\sqrt{3x^{2} -5x-12}=10 \\\\(\sqrt{3x^{2} -5x-12})^{2} =10^{2} \\\\3x^{2} -5x-12=100\\3x^{2} -5x-12-100=0\\3x^{2} -5x-112=0$

по дискриминанту

$D=5^{2} +1344=1369\\\\x_{2} =\frac{5+37}{6} =7\\\\x_{1} =\frac{5-37}{6} =-5\frac{1}{3}$