Q.2) 3x2 + 5x + 7 =0 this quadratic Equation Can Be Solve By Factorise mathod ?
Answers
Answer:
The roots (answers) are:
x
=
5
+
i
√
59
6
and,
x
=
5
−
i
√
59
6
Hence there are no real roots to this quadratic, which means it does not cross the x-axis.
Explanation:
3
x
2
−
5
x
+
7
=
0
is a quadratic equation. This can be solved in 3 ways: factorising, using the quadratic formula or by completing the square. It's not obvious how to factorise
3
x
2
−
5
x
+
7
=
0
so we'll use the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
a is the coefficient of
x
2
, in this case 3.
b is the coefficient of
x
, in this case -5.
c is the constant, in this case 7.
Putting these values into the quadratic equation:
x
=
−
(
−
5
)
±
√
(
−
5
)
2
−
4
(
3
)
(
7
)
2
(
3
)
x
=
5
±
√
25
−
84
6
x
=
5
±
√
−
59
6
x
=
5
±
i
√
59
6
So the roots are:
x
=
5
+
i
√
59
6
and,
x
=
5
−
i
√
59
6
√
−
59
is an imaginary number, equal to
√
−
1
√
59
, which equals
i
√
59
. The symbol for the square root of -1 is i. Thus the roots of this equation have a real part (the 5/6) and an imaginary part (the
±
i
√
59
6
). A number made up of a real and imaginary part is called a complex number. Hence there are no real roots to this quadratic, which means it does not cross the x-axis
Explanation:
Explanation:
no we cannot solve by factorise method