What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.
Answers
Answered by
2
(
2
x
+
3
)
2
+
16
x
+
35
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
28
, and
c
=
44
into the quadratic formula and solve for
x
.
−
28
±
√
28
2
−
4
⋅
(
4
⋅
44
)
2
⋅
4
Simplify.
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x
=
−
7
±
√
5
2
The result can be shown in both exact and approximate form.
x
=
−
7
±
√
5
2
x
≈
−
2.38196601
,
−
4.61803398
Answered by
2
2(2x+3)+8(2x+3)+11=0
4x+6+16x+24=0
4x+16x+6+24=0
20x+30=0
20x=0+30
20x=30
x=30/20
x=3/2,ans
4x+6+16x+24=0
4x+16x+6+24=0
20x+30=0
20x=0+30
20x=30
x=30/20
x=3/2,ans
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