SOLUTION: Directions:Solve each of the equations for x. Problem# 22 25x^2=13 Directions: Solve each equation for x. Problem# 32 2(x-5)^2=3 Directions: Solve each equation f

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Directions:Solve each of the equations for x. Problem# 22 25x^2=13 Directions: Solve each equation for x. Problem# 32 2(x-5)^2=3 Directions: Solve each equation f      Log On


   

Question 67943: Directions:Solve each of the equations for x.
Problem# 22
25x^2=13

Directions: Solve each equation for x.
Problem# 32
2(x-5)^2=3
Directions: Solve each equation for x.
Problem#42
x^2+4x+4=7 (Hint:Factor the left-hand side)
Answer by tutorcecilia(2152) About Me  (Show Source):
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25x^2=13
25x^2/25=13/25
x^2=13/25
sqrt(x^2)=sqrt(13/25)
x=(sqrt13)/5
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2(x-5)^2=3
2(x-5)^2/2=3/2
(x-5)^2=3/2
sqrt(x-5)^2=sqrt(3/2)
x-5=sqrt(3/2)
x-5+5=5+-sqrt(3/2)
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x^2+4x+4=7 (Hint:Factor the left-hand side)
(x+2)(x+2)=7
(x+2)^2=7
sqrt(x+2)^2=sqrt(7)
x+2=sqrt7
x+2-2=-2sqrt(7)
x=-2+-sqrt(7)