15. 6x² − 4x − 3 = 0

Question

Дискриминант: \(D=(-4)²-4\cdot6\cdot(-3)=88\), \(\sqrt{D}=2\sqrt{22}\).

\(x=\frac{4\pm2\sqrt{22}}{12}=\frac{2\pm\sqrt{22}}{6}\).

Ответ: x₁ = (2 + √22)/6, x₂ = (2 − √22)/6.

Accepted Answer

Дискриминант: \(D=(-4)²-4\cdot6\cdot(-3)=88\), \(\sqrt{D}=2\sqrt{22}\).

\(x=\frac{4\pm2\sqrt{22}}{12}=\frac{2\pm\sqrt{22}}{6}\).

Ответ: x₁ = (2 + √22)/6, x₂ = (2 − √22)/6.