SOLUTION: Solve each of the equations for x. Section 10.1 # 22 25x^2=13 Section 10.1 # 32 2(x-5)^2=3 Section 10.1 # 42 x^2+4x+4=7 (hint: factor the left-hand side)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve each of the equations for x. Section 10.1 # 22 25x^2=13 Section 10.1 # 32 2(x-5)^2=3 Section 10.1 # 42 x^2+4x+4=7 (hint: factor the left-hand side)      Log On


   

Question 73990: Solve each of the equations for x.
Section 10.1 # 22
25x^2=13
Section 10.1 # 32
2(x-5)^2=3
Section 10.1 # 42
x^2+4x+4=7 (hint: factor the left-hand side)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
#22
25x%5E2=13
x%5E2=13%2F25Divide both sides by 25
sqrt%28x%5E2%29=sqrt%2813%2F25%29Take the square root of both sides
x=sqrt%2813%29%2F5%29


#32
2%28x-5%29%5E2=3
%28x-5%29%5E2=3%2F2
sqrt%28%28x-5%29%5E2%29=sqrt%283%2F2%29Take the square root of both sides
x-5=sqrt%283%2F2%29Add 5 to both sides
x=sqrt%283%2F2%29%2B5


#42
x%5E2%2B4x%2B4=7
x%5E2%2B4x-3=0Get all terms to one side
%28x-3%29%28x-1%29=0Factor the left side
x-1=0
x=1
%28x-3%29=0
x=3
So x=1 and x=3