Answer:
x=8,-8
Step-by-step explanation:
Rewrite the equation as
x
2
+
6
2
=
10
2
.
x2+62=102
Raise
6
to the power of
2
.x2+36
=102
Raise
10
to the power of
2
.x2+36=100
Move all terms not containing
x
to the right side of the equation.
Tap for fewer steps...
Subtract
36
from both sides of the equation.
x
2
=
100
−
36 Subtract 36
from 100
x
2
=
64
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x
=
±
√
64
The complete solution is the result of both the positive and negative portions of the solution.
Tap for fewer steps...
Simplify the right side of the equation.
Tap for fewer steps...
Rewrite
64
as
8
2
.
x
=
±
√
8
2
Pull terms out from under the radical, assuming positive real numbers.
x
=
±
8
The complete solution is the result of both the positive and negative portions of the solution.
Tap for fewer steps...
First, use the positive value of the
±
to find the first solution.
x
=
8
Next, use the negative value of the
±
to find the second solution.
x
=
−
8
The complete solution is the result of both the positive and negative portions of the solution.
x
=
8
,−8