Question

Multimea solutiilor ecuatiei 4x la a doua + 8x = -4 este ?

Answer 1

4x la a doua + 8x = -4

4x² + 8x = -4 ⇔ 4x² + 8x  +  4 =  0 |:4  ⇔ x² + 2x + 1 = 0 ⇔

⇔  (x + 1)²  = 0 ⇔ x₁ = x₂ =  -1

S = {-1}

Answer 2

$\displaystyle 4x^2 + 8x = -4 \\ 4x^2+8x+4=0 \\ \\ \boxed{\Delta=b^2-4ac } \\ \\ \Delta=8^2-4\cdot4\cdot4 \\ \Delta=64-64 \\ \Delta=0 \\ \\ X_1=X_2= \frac{-b}{2a} = \frac{-8}{2\cdot4}= \frac{-8}{8}=-1$