Answer:
The equation is
4
x
2
−
57
x
+
4
=
0
Step-by-step explanation:
Explanation:
The quadratic equation is
2
x
2
+
7
x
−
2
=
0
Rewriting the equation as
x
2
+
7
2
x
−
1
=
0
If the roots of the equation are
α
and
β
Then
α
+
β
=
−
7
2
and
α
β
=
−
1
α
2
+
β
2
=
(
α
+
β
)
2
−
2
α
β
=
49
4
+
2
=
57
4
α
2
β
2
=
(
−
1
)
2
=
1
The equation with roots
α
2
and
β
2
is
x
2
−
57
4
x
+
1
=
0
4
x
2
−
57
x
+
4
=
0
Answer link
