solve the equation 2x^2+8x-1=0 by completing the square
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Answered by
2
Answer:
2
x
2
+
8
x
+
1
=
0
Subtract
1
from both sides of the equation.
2
x
2
+
8
x
=
−
1
Divide each term by
2
and simplify.
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x
2
+
4
x
=
−
1
2
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
2
)
2
Add the term to each side of the equation.
x
2
+
4
x
+
(
2
)
2
=
−
1
2
+
(
2
)
2
Simplify the equation.
x
2
+
4
x
+
4
=
7
2
Factor the perfect trinomial square into
(
x
+
2
)
2
.
(
x
+
2
)
2
=
7
2
Solve the equation for
x
.
x
=
±
√
14
2
−
2
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
14
2
−
2
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