SOLUTION: please help me solve 5k^2+3k-2=0 by completing the square

Question 519838: please help me solve 5k^2+3k-2=0 by completing the square
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
5k^2 +3k -2 = 0 can be factored, so you do not need to complete the square.
(5k-2)(k+1) = 0
so
k = -1 or 2/5
.
Check using FOIL
5k^2 +5k -2k -2 = 5k^2 +3k -2 = 0
.
Of course you can complete the square
5k^2 +3k -2 = 0
Add 2 to both sides
5k^2 +3k = 2
Divide through by coefficient of the squared term
k^2 + 3/5k = 2/5
Take 1/2 of the coefficient of the 'k' term, square it and add to the left and right sides.
1/2*3/5 = 3/10
(3/10)^2 = 9/100
k^2 + 3/5k + 9/100 = 2/5 + 9/100
(k + 3/10)^2 = 2/5 + 9/100
k + 3/10 = sqrt(2/5 + 9/100)
k + 3/10 = sqrt(40/100 + 9/100)
k + 3/10 = sqrt(49/100)
k + 3/10 = +or- 7/10
so
k = 7/10 -3/10 = 4/10 = 2/5
or
k = -7/10 -3/10 = -10/10 = -1
.
Same answer, either way.
.
Done.

RELATED QUESTIONS
Please help me solve the equation 2x^2 - 10x - 3 = 0 by completing the square (answered by Cromlix)

{{{ 3x^2+5x-1=0 }}} Please help me solve this equation by completing the square (answered by jim_thompson5910)

Could you please help me solve this by completing the square: x^2+10x-8=0 (answered by oscargut)

can you please help me solve by completing the square of:... (answered by Mathtut)

can you please help me solve by completing the square of: (((... (answered by Mathtut)

can you please help me solve by completing the square of ((( 2x^2-3x+1=0... (answered by solver91311)

can you please help me solve by completing the square ((( x^2-x-1=0... (answered by solver91311)

can you please help me solve by completing the square of ((( x^2-x-1=0... (answered by josmiceli)

Please help me solve by completing the square:... (answered by jim_thompson5910)