# SOLUTION: This is the problem that I was given and th only way I know how to solve would be trial and error. Find a value for k that will make 4x^2 + 6.4x + k a perfect square. Describe t

Algebra ->  Algebra  -> Exponents -> SOLUTION: This is the problem that I was given and th only way I know how to solve would be trial and error. Find a value for k that will make 4x^2 + 6.4x + k a perfect square. Describe t      Log On

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 Question 187570: This is the problem that I was given and th only way I know how to solve would be trial and error. Find a value for k that will make 4x^2 + 6.4x + k a perfect square. Describe the procedure that you used which requires algebra [that is, not trial and error]. Answer by ankor@dixie-net.com(15639)   (Show Source): You can put this solution on YOUR website!Find a value for k that will make 4x^2 + 6.4x + k a perfect square. : We want the coefficient of x^2 to be 1, divide by 4 x^2 + 1.6x + k/4 Take the coefficient of 1.6, divide it by 2: .8; then square it; k/4 = .64 giving us: x^2 + 1.6x + .64 Multiply by 4; (k = 2.56) 4x^2 + 6.4x + 2.56 factors to: (2x + 1.6)^2 : k = 2.56 : Check it; FOIL (2x + 1.6)(2x + 1.6) = 4x^2 + 3.2x + 3.2x + 2.56 = 4x^2 + 6.4x + 2.56