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Answer:
x = 4 and x=3
Step-by-step explanation:
It is given that,
x^2 - 7x +12 =0 be the quadratic equation.
we hae to find the value of x by completing square method.
Let x^2 - 7x +12 =0
Here b/2 = -7/2
Add and minus (-7/2)^2
x^2 - 7x + (-7/2)^2 + 12 -(-7/2)^2 =0
(x - 7/2)^2 +12 - 49/4 = 0
(x - 7/2)^2 - 1/4 = 0
(x - 7/2)^2 = 1/4 Taking square root on both sides,
x - 7/2 = +1/2 and -1/2
x = 1/2 + 7/2 = 8/2 = 4 and x = -1/2 + 7/2 = 6/2 =3
Therefore x = 4 or x= 3
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