Find the discriminant of quadratic equation : Root 5x^2 - 7x + 2 Root 5 = 0
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0
Answer:
Discriminant
D
=
d
2
=
b
2
−
4
a
c
=
49
−
40
=
9
--> d = 3 and d = -3.
There are 2 solutions, called real roots of the quadratic equations.
x
1
=
−
b
2
a
+
d
2
a
=
7
10
−
3
10
=
4
10
=
2
5
x
2
=
−
b
2
a
−
d
2
a
=
7
10
+
3
10
=
10
10
=
1
Note . We can use shortcut to quickly solve this equation.
Since a + b + c = 0, then one real root is 1 and the other is
(
c
a
=
−
2
−
5
=
2
5
)
.
When a - b + c = 0, then one real root is (-1) and the other is
(
−
c
a
)
.
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Answer:
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