Question

X^2-2x-3=0, solve by completing the square

Answer 1

3,-1

Explanation:

Given equation,

`\longrightarrow x^2 -2x -3 = 0 \\`

`\longrightarrow x^2 - 2(1)(x) = 0 +3 \\`

`\longrightarrow x^2 -2(1)(x) + 1^2 = 3+1^2\\`

`\longrightarrow (x-1)^2 = 4 = 2^2 \\`

`\longrightarrow x -1 =\pm 2 \\`

`\longrightarrow x = 2+1 , -2+1\\`

`\longrightarrow \underline{\underline{\qquad x = 3 ,-1}}\\`