Answer:
Step-by-step exExplanation:
Solve:
3
x
2
−
4
x
−
5
=
0
is a quadratic equation in standard form:
a
x
2
+
b
x
+
c
,
where:
a
=
3
,
b
=
−
4
,
c
=
−
5
Quadratic formula
x
=
−
b
±
√
b
2
−
4
a
c
2
a
Plug in the known values.
x
=
−
(
−
4
)
±
√
(
−
4
)
2
−
4
⋅
3
⋅
−
5
2
⋅
3
Simplify.
x
=
4
±
√
76
6
Prime factorize
76
.
x
=
4
±
√
2
2
×
19
6
Apply rule:
√
a
2
=
a
x
=
4
±
2
√
19
6
Simplify.
x
=
2
±
√
19
3
Solutions for
x
.
x
=
2
+
√
19
3
,
2
−
√
19
3
Related questions
How do you know how many solutions
2
x
2
+
5
x
−
7
=
0
has?
What is the Quadratic Formula?
planation: