Question

rezolvati in R ecuatia 33x la puterea 4-10x la puterea 2+3=0

Answer 1

$3x^4-10 x^{2} +3=0 \\ fie x^{2} =t;t \geq 0 \\ 3 t^{2}-10t+3=0$
Δ=100-36=64
$t_{1}= \frac{10-8}{6}= \frac{1}{3} \\ t_{2}= \frac{10+8}{6}=3$
revenim la substitutie
x²=1/3 ⇔x=√3/3 sau x=-√3/3
x²=3 ⇔x=√3 sau x=-√3