Solve for x. Write the smaller solution first, and the larger solution second. (x +6)(-x +1)=0
Answers
Answer:
x= 1 ,6
Step-by-step explanation:
(x+6)(-x+1)=0
-x²+x-6x+6 =0
-x²-5x+6=0
-1(x²+5x-6)=0
x²+5x-6=0
a=1 , b= 5 ,c = -6
D = b²-4ac
D= (5)²-4(1)(-6)
D=25+24
D=49
x= -b ±√b²-4ac÷2a
x= -5±√49÷2×1
x=-5 ± 7 ÷ 2
x= -5+7÷2 OR x= -5 -7÷2
x = 2÷2 OR x= 12 ÷ 2
x = 1 OR x= 6
Step-by-step explanation:
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Precalculus Examples
Popular Problems Precalculus Solve for x (x-6)/(-x-1)>0
x
−
6
−
x
−
1
>
0
Find all the values where the expression switches from negative to positive by setting each factor equal to
0
and solving.
x
−
6
=
0
−
x
−
1
=
0
Add
6
to both sides of the equation.
x
=
6
Add
1
to both sides of the equation.
−
x
=
1
Multiply each term in
−
x
=
1
by
−
1
Tap for more steps...
x
=
−
1
Solve for each factor to find the values where the absolute value expression goes from negative to positive.
x
=
6
x
=
−
1
Consolidate the solutions.