Solve the equation by completing the square.
2x2 + 8x - 10 = 0
Answers
Answered by
2
x
=
1
or
x
=
−
5
Divide both sides by
2
to get rid of the coefficient of
x
2
x
2
+
4
x
−
5
=
0
Add
5
to both sides
x
2
+
4
x
=
5
Take half the coefficient of
x
, square it, and add to both sides
The coefficient of
x
is
4
Half that is
2
The square of
2
is
4
Adding
4
to both sides gives
x
2
+
4
x
+
4
=
9
Factoring the left hand side gives
(
x
+
2
)
2
=
9
The square root of both sides gives
x
+
2
=
3
or
x
+
2
=
−
3
x
=
1
or
x
=
−
5
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Answered by
0
Answer:
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