Question

m² - 5m + 3 = 0 by completing square method

Answer 1

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Answer 2

m² - 5m + 3 = 0 using complete the square method, we use following steps:

Step 1: Move the constant term form left side to right side.

m² - 5m = -3

Step 2: Take the half coefficient of m (that is -5/2), square of -5/2 is 25/4

add both the side 25/4

m² - 5m + 25/4 = -3 + 25/4

Step 3: Change the left side in perfect square

$(m - 5/2)^{2}$ = 13/4

Step 4: Take square root of both the side

(m-5/2) = + or - √(13/4)

m = (√13 + 5)/2

m = (-√13 + 5)/2