SOLUTION: (x - 3)2 = 49

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (x - 3)2 = 49      Log On


   



Question 156728: (x - 3)2 = 49
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the equation %28x+-+3%29%5E2+=+49


%28x-3%29%5E2=49 Start with the given equation.


x-3=0%2B-sqrt%2849%29 Take the square root of both sides. Note: don't forget the "plus/minus"


x-3=sqrt%2849%29 or x-3=-sqrt%2849%29 Break up the "plus/minus" to form two equations.


x-3=7 or x-3=-7 Take the square root of 49 to get 7.


x=3%2B7 or x=3-7 Add 3 to both sides.


x=10 or x=-4 Combine like terms.


--------------------------------------


Answer:


So the solutions are x=10 or x=-4.