SOLUTION: Solve using the square root property: 1. 2x^2=40 2. (x+3)^2=49 Thank you ;)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve using the square root property: 1. 2x^2=40 2. (x+3)^2=49 Thank you ;)      Log On


   

Question 179510: Solve using the square root property:
1. 2x^2=40
2. (x+3)^2=49
Thank you ;)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1



2x%5E2=40 Start with the given equation.


x%5E2=%2840%29%2F%282%29 Divide both sides by 2.


x%5E2=20 Reduce.


x=0%2B-sqrt%2820%29 Take the square root of both sides.


x=sqrt%2820%29 or x=-sqrt%2820%29 Break up the "plus/minus" to form two equations.


x=2%2Asqrt%285%29 or x=-2%2Asqrt%285%29 Simplify the square root.


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Answer:


So the solutions are x=2%2Asqrt%285%29 or x=-2%2Asqrt%285%29.






# 2




%28x%2B3%29%5E2=49 Start with the given equation.


x%2B3=0%2B-sqrt%2849%29 Take the square root of both sides.


x%2B3=sqrt%2849%29 or x%2B3=-sqrt%2849%29 Break up the "plus/minus" to form two equations.


x%2B3=7 or x%2B3=-7 Take the square root of 49 to get 7.


x=-3%2B7 or x=-3-7 Subtract 3 from both sides.


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


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Answer:


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