Question

5x²+3x≥3+2x2 ayuda Inecuacion​

Answer 1

Explicación paso a paso:

5x² + 3x ≥ 3 + 2x2

5x² + 3x ≥ 3 + 4x

5x² + 3x - 3 - 4x ≥ 0

5x² - x - 3 ≥ 0

5x² - x - 3 = 0

x₁ = 1 + √61/10, x₂ = 1 - √61/10

5(x - 1 + √61/10) × (x - 1 - √61/10) ≥ 0

(x - 1 + √61/10) × (x - 1 - √61/10) ≥ 0

{x - 1 + √61/10 ≥ 0

{x - 1 - √61/10 ≥ 0

{x - 1 + √61/10 ≤ 0

{x - 1 - √61/10 ≤ 0

{x ≥ 1 + √61/10

{x ≥ 1 - √61/10

{x ≤ 1 + √61/10

{x ≤ 1 - √61/10

x ∈ [1 + √61/10, + ∞》

x ∈ 《-∞, 1 - √61/10]

x ∈ 《-∞, 1 - √61/10] ∪ [1 + √61/10, + ∞》

Besitos OvO