Question

What is the solution to the equation

Answer 1

Answer:

x = 4, -10

Explanation:

step 1 - divide both sides of the equation by two

$2(x+3)^2=98\\\\(x+3)^2 = 49$

step 2 - use square root of both sides

$(x+3)^2 = 49$

x + 3 = ± 7

step 3 - split this up into two equations to represent both positive and negative seven

x + 3 = 7

x + 3 = -7

step 4 - solve for both equations

* to solve these equations, subtract three from both sides

x + 3 = 7

x + 3 - 3 = 7 - 3

x = 4

x + 3 = -7

x + 3 - 3 = -7 - 3

x = -10

Therefore, the solution to the equation is x = 4, -10