Find the root of a following quadratic equation if they exist, by the method of completing the square
1) x²+4x-5=0
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Answer:
2x
2
−7x+3=0
⇒x
2
−
2
7
x=−
2
3
Adding (
4
7
)
2
on both sides
⇒x
2
−
2
7
x+(
4
7
)
2
=
2
−3
+(
4
7
)
2
⇒(x−
4
7
)
2
=
2
−3
+
16
49
⇒(x−
4
7
)
2
=
16
25
⇒(x−
4
7
)
2
=(
4
5
)
2
Taking square root on both sides
⇒(x−
4
7
)=±
4
5
⇒x−
4
7
=
4
5
, x−
4
7
=
4
−5
x=
4
5
+
4
7
x=
4
−5
+
4
7
x=3 x=
2
1
Step-by-step explanation:
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