find the roots of the following quadratic equation , if they exist , by the method of completing the square 2x square + x - 4= 0
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1
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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Answer:
find any two rational number between 4 and 5
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