What are the solutions of the quadratic equation (x + 3) 2 = 49? x = - 2 and x = - 16 x = 2 and x = x = 4 and x = - 10 x = 40 and x = - 58

Question

Mathematics

Amirah Lewis

7 August, 21:13

What are the solutions of the quadratic equation (x + 3) 2 = 49? x = - 2 and x = - 16 x = 2 and x = x = 4 and x = - 10 x = 40 and x = - 58

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Answers (2)

Know the Answer?

Barrett Fritz · Answer 1

Im gonna assume you are solving for x, the equation (x + 3) 2 = 49 x is equal to 21.5 or 21 and 1/2. however the rest aren't equations they're just x = number and there isn't much to do with that

Myles Stephens · Answer 2

x = 4 and x = - 10

Step-by-step explanation:

expand the squared brackets

(x + 3) (x+3) = 49

Distribute them

x^2 + 3x + 3x + 9 = 49

bring the 49 to the other side to make one side 0, make sure to change signs

x^2 + 3x + 3x + 9 - 49 = 0

combine like terms

x^2 + 6x - 40 = 0

factor what numbers multiply to get - 40 that also add/subtract to get + 6

(x - 4) (x + 10)

turn it into an equation to get the answer to x

x - 4 = 0 x + 10 = 0

x = 4 x = - 10