determined the nature route of quadratic equation (2x)2-5x+7=0
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Answer:
hii bahi follow kar na .................
Answered by
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Step-by-step explanation:
One way to find the number of roots is by the graph. It is clear that the graph crosses the x-axis at 2 different values of x. Therefore there are 2 roots.
graph{2x^2+5x-7 [-20, 20, -12,12] [-20, 20, -12, 12]}
The give equation is
2
x
2
+
5
x
−
7
=
0
By factoring method,
2
x
2
+
5
x
−
7
=
0
(
2
x
+
7
)
(
x
−
1
)
=
0
by the zero property
2
x
+
7
=
0
and
x
−
1
=
0
it follows
the roots are
x
=
−
7
2
and
x
=
1
It can also be checked from the graph the points
(
−
7
2
,
0
)
and
(
1
,
0
)
God bless...I hope the explanation is useful.
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