गुणनखंडन विधि द्वारा समीकरण को हल करें
`x^(2) + 2x + 10 = 0`

Explanation

`x^(2) + 2x + 10 = 0`
`implies x^(2) + 2x + 1 + 9 = 0`
`implies (x + 1)^(2) - 9i^(2) = 0 " " [ because i^(2) = -1]`
`implies (x + 1)^(2) - (3i)^(2) = 0`
`implies (x + 1 + 3i) (x + 1 - 3i) = 0`
`implies x + 1 + 3i = 0` या `x + 1 - 3i = 0`
`implies x = -1 - 3i ` या `x = -1 + 3i`
अतः दिये गये समीकरण के मूल `-1 - 3i` और `-1 + 3i` है |