Find the real solutions if any for the following equation Us

Find the real solutions, if any, for the following equation. Use any method.

x squared plus xx2+xequals=4

x^2 + x = 4

subtracting 4 from both sides

x^2 + x - 4 = 0

applying quadratic formula to find the solutions

x = { -b + - sqrt (b^2 - 4ac )} / 2a

a = 1 , b = 1 , c = -4

plugging the values in the formula we get

x = { - 1 + - sqrt (1^2 - 4*1 *-4) } / 2

x = { -1 + - sqrt 17 } / 2

two solutions are

x1 = { -1 + sqrt 17 } / 2

x2 = { -1 - sqrt 17 } / 2