Answer:
Write the problem as a mathematical expression.
10
x
2
−
5
x
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
10
,
b
=
−
5
, and
c
=
0
into the quadratic formula and solve for
x
.
5
±
√
(
−
5
)
2
−
4
⋅
(
10
⋅
0
)
2
⋅
10
Simplify.
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x
=
1
±
1
4
The final answer is the combination of both solutions.
x
=
1
2
,
0
