9x+1=4x^2 by formula method
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1
Answer:
Step-by-step explanation:
Solve for x 4x^2-9x-1=0
4
x
2
−
9
x
−
1
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
−
9
, and
c
=
−
1
into the quadratic formula and solve for
x
.
9
±
√
(
−
9
)
2
−
4
⋅
(
4
⋅
−
1
)
2
⋅
4
Simplify.
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x
=
9
±
√
97
8
The final answer is the combination of both solutions.
x
=
9
+
√
97
8
,
9
−
√
97
8
The result can be shown in multiple forms.
Exact Form:
x
=
9
+
√
97
8
,
9
−
√
97
8
Decimal Form:
x
=
2.35610722
…
,
−
0.10610722
…
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