Solve the equation for all values of x: (x+1) ^2=-49

Values for x = - 1 + 7i and - 1 - 7i

Step-by-step explanation:

we have an equation,

(x+1) ^2 = - 49

We need to solve this equation for all values of x:

(x+1) ^2 = - 49

Taking square root both sides

√ ((x + 1) ^2) = √-49

x + 1 = ± 7i

Subtract both sides by 1

x = - 1 ± 7i

Hence we get two values for x = - 1 + 7i and - 1 - 7i