What is a solution of x^2 +6x=-5?
my answer is -1
You are correct! :)
there are two solutions
x^2 + 6x + 5 = 0
(x+1)(x+5) = 0
x = -1 , you had that one
or
x = -5
To find the solution of the equation x^2 + 6x = -5, we need to solve it by bringing all the terms to one side and then factoring or applying the quadratic formula.
Step 1: Bring all terms to one side:
x^2 + 6x + 5 = 0
Step 2: Try factoring the equation:
Since the coefficient of x^2 is 1, we need to find two numbers that multiply to give 5, and have a sum of 6. The numbers that satisfy this are 1 and 5.
(x + 1)(x + 5) = 0
Step 3: Set each factor equal to zero and solve:
x + 1 = 0 or x + 5 = 0
For x + 1 = 0:
x = -1
For x + 5 = 0:
x = -5
So the solutions of x^2 + 6x = -5 are x = -1 and x = -5.