roots 2x² + 2-4=0 by completing squares
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10th
Maths
Quadratic Equations
Solutions of Quadratic Equations
Solve the quadratic equatio...
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Asked on October 15, 2019 by
Anuj Tejwani
Solve the quadratic equation 2x
2
+x−4=0 by completing the square
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VIDEO EXPLANATION
ANSWER
The given quadratic equation is
2x
2
+x−4=0
⇒x
2
+
2
x
−2=0
⇒x
2
+
2
x
=2
On adding both sides
16
1
we get
x
2
+
2
x
+
16
1
=2+
16
1
⇒(x+
4
1
)
2
=
16
33
⇒x+
4
1
=±
4
33
⇒x=±
4
33
−
4
1
⇒x=
4
−1−
33
,
4
−1+
33
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