Answer:
x
=
6
,
−
5
Step-by-step explanation:
Move x
to the left side of the equation by subtracting it from both sides. x^
2
−
30
−
x
=
0
x2-30-x=0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)/
2
a
-b±b2-4(ac)/2a
Substitute the values
a
=
1 , b
=
−
1 , and c
=
−
30
into the quadratic formula and solve for x
x
.
1
±
√
(
−
1
)
2
−
4
⋅
(
1
⋅
−
30
)/
2
⋅
1
Simplify.
x
=
1
±
11/
2
The final answer is the combination of both solutions.
x
=
6
,
−
5
