Answer:
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
2
)
2
=
(
−
3
)
2
Add the term to each side of the equation.
x
2
−
6
x
+
(
−
3
)
2
=
22
+
(
−
3
)
2
Simplify the equation.
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x
2
−
6
x
+
9
=
31
Factor the perfect trinomial square into
(
x
−
3
)
2
.
(
x
−
3
)
2
=
31
Solve the equation for
x
.
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x
=
±
√
31
+
3
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
31
+
3
Decimal Form:
x
=
8.56776436
…
,
−
2.56776436
…
Step-by-step explanation:
thats took a while lol
The answer:
-7 3/4, -7.6, -6 7/8, 32/5, 6.9
Answer:
13
Step-by-step explanation:
Write an equation setting the lengths equal to each other.
5x + 3 = 2x + 9
Move the variable (x) to one side. I'm going to subtract 2x from both sides.
5x - 2x + 3 = 2x - 2x + 9
3x + 3 = 9
Subtract 3 from both sides
3x +3 - 3 = 9 - 3
3x = 6
Divide both sides by 3
3x/3 = 6/3
x = 2
Now use 2x + 9 to find the length of EG by substituting 2 in for x.
2x + 9
2(2) + 9
4 + 9
13
You could also use 5x + 3 to find the length of EG by substituting 2 in for x.
The algebraic expressions would be a÷9
