Question

X squared + 2x is equal to 7 ​

Answer 1

x = - 1 ± 2
`√(2)`

Explanation:

x² + 2x = 7

solve using the method of completing the square

add ( half the coefficient ot the x- term )² to both sides

x² + 2(1)x + 1 = 7 + 1

(x + 1)² = 8 ( take square root of both sides )

x + 1 = ±
`√(8)` = ± 2
`√(2)` ( subtract 1 from both sides )

x = - 1 ± 2
`√(2)`