Find the roots of the following quadratic equations, if they exist, by the method of completing the square 2x2 + x + 4 = 0
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Answer:
Given equation is 2x
2
−x−4=0
The coefficient of x
2
is 2, make it 1 by dividing by 2 on both the sides.
i.e. x
2
−
2
x
−2=0
Transpose the constant term to the right.
x
2
−
2
x
=2
Add the square of half the coefficient of x on both sides.
x
2
−
2
x
+
16
1
=2+
16
1
(x−
4
1
)
2
=
16
33
The equation is of the form
a
2
=b
which implies
a=±
b
Therefore,
x−
4
1
=±
4
33
So, x=
4
1
+
4
33
or x=
4
1
−
4
33
Explanation:
l hope it will help u
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