Question

x elevado a quarta potência- 6x elevado a segunda potencia=10 ?

Answer 1

$x^{4} - 6 x^{2} = 10 \\ x^{2} =y \\ x^{4}-6 x^{2} -10=0 \\ y^{2}-6y-10=0 \\ deltay=6^{2}-4.1.(-10) \\ deltay=36+40=76 \\ y_{1}= \frac{6+2 \sqrt{19} }{2}=3+\sqrt{19} \\ y_{2}=3- \sqrt{19} \\ x^{2}=y_{1} \\ x=+\sqrt{3+ \sqrt{19}} \\ x=- \sqrt{3+ \sqrt{19} }$