Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,880 users

Solve the following equation by completing the square.?

0 votes
6m^2 + 5m -3 = 0
asked Jun 25, 2014 in ALGEBRA 1 by anonymous

1 Answer

0 votes

The equation 6m 2 + 5m - 3 = 0

Separate variables and constants aside by adding 3 to each side.

6m 2 + 5m  = 3

Here m 2 coefficient is 6 , for perfect square make m 2 coefficient 1 by dividing each side by 6.

m 2 + 5m/6  = 1/2

To change the expression into a perfect square trinomial add (half the m coefficient)² to each side of the expression.

m 2 + 5m/6 + 25/144 = 1/2 + 25/144

(m + 5/12) 2 = (72 + 25)/144

(m + 5/12) = 97/144

Take square root both sides.

m + 5/12 = ± √97/144

m + 5/12 = ± √97/12

m = -5/12 ± √97/12

m = 1/12[- 5 ± √97]

Solutions are m = 1/12(- 5 + √97) and m = 1/12(- 5 - √97).

 

answered Jun 25, 2014 by david Expert

Related questions

...