solve the following quadratic equation by conpleting square method;
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Answered by
1
Answer:
The form for a perfect square is
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
.
x
2
+
2
x
−
5
=
0
.
Add
5
to both sides of the equation.
x
2
+
2
x
=
5
Divide the coefficient of the
x
value by
2
, then square the result.
2
2
=
1
;
1
2
=
1
Add the result to both sides.
x
2
+
2
x
+
1
=
5
+
1
=
x
2
+
2
x
+
1
=
6
The left side is now a perfect square trinomial.
x
2
+
2
x
+
1
=
(
x
+
1
)
2
(
x
+
1
)
2
=
6
Take the square root on both sides.
x
+
1
=
±
√
6
Subtract
1
from both sides.
x
=
√
6
−
1
x
=
−
√
6
−
1
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