Answer:x=4+
16+m
x=4−
16+m
Explanation:
Question
−x
2
+8x+m=0
Solve the equation
x=4+
16+m
x=4−
16+m
Evaluate
−x
2
+8x+m=0
Multiply both sides
x
2
−8x−m=0
Substitute a=1,b=−8 and c=−m into the quadratic formula x=
2a
−b±
b
2
−4ac
x=
2
8±
(−8)
2
−4(−m)
Simplify the expression
x=
2
8±
64+4m
Simplify the radical expression
x=
2
8±2
16+m
Separate the equation into 2 possible cases
x=
2
8+2
16+m
x=
2
8−2
16+m
Solve the equation
x=4+
16+m
x=
2
8−2
16+m
Solution
x=4+
16+m
x=4−
16+m
Question
−x
2
+8x+m=0
Solve the equation
x=4+
16+m
x=4−
16+m
Evaluate
−x
2
+8x+m=0
Multiply both sides
x
2
−8x−m=0
Substitute a=1,b=−8 and c=−m into the quadratic formula x=
2a
−b±
b
2
−4ac
x=
2
8±
(−8)
2
−4(−m)
Simplify the expression
x=
2
8±
64+4m
Simplify the radical expression
x=
2
8±2
16+m
Separate the equation into 2 possible cases
x=
2
8+2
16+m
x=
2
8−2
16+m
Solve the equation
x=4+
16+m
x=
2
8−2
16+m
Solution
x=4+
16+m
x=4−
16+m