SOLUTION: Determine the values of (m) that satisfy the following equation using the completion of the square method and compare the solutions by drawing a graph
25m^2-5m-2=0
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25m^2-5m-2=0
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Question 65971: Determine the values of (m) that satisfy the following equation using the completion of the square method and compare the solutions by drawing a graph
25m^2-5m-2=0 Answer by uma(370) (Show Source):
You can put this solution on YOUR website! 25m^2 - 5m - 2 = 0
==> 25m^2 - 5m + (1/4) - (1/4) - 2 = 0 [adding and subtracting (1/4)]
==> (5m - (1/2))^2 - 9/4 = 0
==> (5m - 1/2)^2 = 9/4
==> 5m - 1/2 = 3/2 or (5m - 1/2) = - 3/2 [taking square root]
==> 5m = 3/2 + 1/2 or 5m = -3/2 + 1/2
==> 5m = 4/2 or 5m = -2/2
==> 5m = 2 or 5m = -1
==> m = 2/5 or m = -1/5
Now
From the above graph also we find the solution to be (2/5, -1/5)
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