why you dont searched un gogle :v
Subtract
6
6
from both sides of the equation.
x
2
−
7
x
=
−
6
x
2
-
7
x
=
-
6
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
b
.
(
b
2
)
2
=
(
−
7
2
)
2
(
b
2
)
2
=
(
-
7
2
)
2
Add the term to each side of the equation.
x
2
−
7
x
+
(
−
7
2
)
2
=
−
6
+
(
−
7
2
)
2
x
2
-
7
x
+
(
-
7
2
)
2
=
-
6
+
(
-
7
2
)
2
Simplify the equation.
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x
2
−
7
x
+
49
4
=
25
4
x
2
-
7
x
+
49
4
=
25
4
Factor the perfect trinomial square into
(
x
−
7
2
)
2
(
x
-
7
2
)
2
.
(
x
−
7
2
)
2
=
25
4
(
x
-
7
2
)
2
=
25
4
Solve the equation for
x
x
.
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x
=
6
,
1
Answer:
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Step-by-step explanation:
Answer:
1) x ≤ -2;
2) x > 2;
3) x - 2 < 0
4) 2 ≤ x;
5)-2 < x;
Step-by-step explanation:
≤ means equal to or smaller than;
≥ means equal to or greater than;
< means smaller than;
> means greater than;
In addition, ≤ and ≥ are closed dots in the intervals. < and > are open dots in the intervals.
1) x ≤ -2; By looking at the intervals, the dot is -2, and the arrow is going to the left sides, -4, that the numbers were in a range of smaller than -2. And also because it's a closed dot, it means equal to or smaller than.
2) x > 2; The number starts in 2 with an open dot, and goes to 4, which means x in a range that greater than 2 but not equal to.
3) x - 2 < 0, we get x < 2, by plus 2 in both sides. The number starts in 2 with an open dot and goes to -4, which means x becomes smaller than 2 but not equal to.
4) 2 ≤ x; The number starts in 2 with a closed dot and goes to 4, the x is places in a number range that is equal to or greater than 2.
5)-2 < x; The number starts in -2 with an open dot and goes to 4, which means x becomes bigger than -2 but not equal to.
