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Byju's Answer
Standard X
Mathematics
Solving a Quadratic Equation by Completion of Squares Method
What should b...
Question
What should be subtracted from
4
x
2
−
20
x
+
30
to make it a perfect square?
Open in App
Solution
4
x
2
−
20
x
+
30
By using the completing square method,
⇒
(
2
x
)
2
−
2
×
2
x
×
5
+
5
2
−
5
2
+
30
⇒
(
2
x
−
5
)
2
−
25
+
30
⇒
(
2
x
−
5
)
2
+
5
∴
5
should be subtracted to make it a perfect square.
∴
(
2
x
−
5
)
2
+
5
−
5
=
(
2
x
−
5
)
2
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