Question

como resolve a equação biquadrada: x⁴-2x²+1=0

Answer 1

$x^{4} -2 x^{2} +1=0\to x^{2} =y\\\\ x^{2} -2x+1=0\\\\a=1;b=-2;c=1\\\\\\ \Delta= b^{2} -4ac\to \Delta=(-2 )^{2} -4*1*1\to \Delta=4-4\to \Delta=0\\\\\\x= \frac{-b+- \sqrt{\Delta} }{2a} \to x= \frac{-(-2)+- \sqrt{0} }{2*1} \to x= \frac{2+-0}{2} \\\\\\x'=x''=\frac{2}{2} \to x'=x''=1\\ \\\\\\S=(1,1)$