Question

Solve the equation

3x^2+11x-4=0

Answer 1

`\Large \textsf{Read below}`

Explanation:

`\Large \text{$ \sf 3x^2 + 11x - 4 = 0$}`

`\Large \text{$ \sf (3x^2)/(3) + (11x)/(3) - (4)/(3) = 0$}`

`\Large \text{$ \sf x^2 + 4x - (x)/(3) - (4)/(3) = 0$}`

`\Large \text{$ \sf x\:.\:(x + 4) - (1)/(3)\:.\:(x + 4) = 0$}`

`\Large \text{$ \sf (x + 4)\:.\:\left(x - (1)/(3)\right) = 0$}`

`\Large \text{$ \sf x + 4 = 0 \rightarrow x = -4$}`

`\Large \text{$ \sf x - (1)/(3) = 0 \rightarrow x = (1)/(3)$}`

`\Large \text{$ \sf S = \left\{-4,\:(1)/(3)\right\}$}`