Question

solve the equations:
(x + 1)² = 2(x-3)
*​

Answer 1

$\sf{ \bigg(x + 1 \bigg)}^{2} = 2 \bigg(x - 3 \bigg) \\ \\ \\ \longrightarrow \sf {x}^{2} + \cancel{ 2x }+ 1 = \cancel{ 2x }- 6 \\ \\ \\ \longrightarrow \sf \: x = \sqrt{ - 7} \\ \\ \\ \sharp \: \: \: \tt \sqrt{ - 7} \: \: is \: \: imaginary \: number \\ \: \: \: \: \: \: \: \tt it \: \: is \: \: been \: \: represented \: \: 7i\\ \\ \\ \\ \large \bf \therefore \: \: \: x = 7i$