find the roots of the following quadratic equations if they exist by the method of completing the square. (iv) 2x2 + x + 4 = 0
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Answer:
2x
2
+x+4=0
⇒x
2
+
2
x
+2=0
x
2
+
2
x
=−2
Adding (
4
1
)
2
on both sides
⇒x
2
+
2
x
+(
4
1
)
2
=−2+(
4
1
)62
⇒(x+
4
1
)
2
=−2+
16
1
⇒(x+
4
1
)
2
=−
16
−31
Step-by-step explanation:
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