Question

Rezolvati in multimea numerelor reale ecuatia: 4x² +3x=1.

Answer 1

$4 x^{2} +3x-1=0 \\ \Delta= b^{2}-4ac=3 ^{2} -4*4*(-1)=9+16=25 \\ \\ x_{1,2} = \frac{-b \pm \sqrt{ \Delta}}{2a}= \frac{-3 \pm5}{8}= \left \{ {{-1} \atop { \frac{1}{4} }} \right. . \\ \\ Solutie:~\boxed{x \in\{-1; \frac{1}{4}\}}.$