Question

2/ Решите уравнение ​

Answer 1

Решите уравнение ​

$16x^4-1=0\\ x^4=\frac{1}{16} \\ x=\sqrt[4]{\frac{1}{2^4} } =\frac{1}{2}\\ x=-\sqrt[4]{\frac{1}{24} }=- \frac{1}{2} \\ \\ 0.01x^3=-10\\ x^3=-1000\\ x=\sqrt[3]{-10^3} =-10\\ \\ \frac{1}{7} x^2=7\\ x^2=49\\ x=+\sqrt{49} =+7\\ x=-\sqrt{49} =-7\\ \\ 4x^3=\frac{1}{2} \\ x^3=\frac{1}{8} \\ x=\sqrt[3]{\frac{1}{8} } =\sqrt[3]{\frac{1}{2^3} } =\frac{1}{2} \\ \\ \frac{1}{4} x^5=-8\\\\ x^5=-32\\ x=-\sqrt[5]{32} =-\sqrt[5]{2^5} =-2$