By completing squares, we will see that the two solutions of the quadratic equaiton are:
m = -7 + √(145)/2
m = -7 - √(145)/2
<h3>How to solve by completing squares?</h3>
Here we have the quadratic equation:
m^2 + 7m - 51/4 = 0
If we multiply both sides by 4, we will get
4m^2 + 28m - 51 = 0
Now, remember the relation:
(a + b)^2 = a^2 + 2ab + b^2
Then to complete the squares we can write:
(2m)^2 + 2*14*m + (14)^2 - (14)^2 - 51 = 0
(2m + 14)^2 - 14^2 - 51 = 0
(2m + 14)^2 = 145
We already completed squares, now the solutions are:
2m = -14 ± √145
m = (-14 ± √145)/2
m = -7 + √(145)/2
m = -7 - √(145)/2
Learn more about quadratic equations:
brainly.com/question/1214333
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