Respuesta :
Answ
0
=
x
2
−
2
x
−
35
=
x
2
−
2
x
+
1
−
1
−
35
=
(
x
−
1
)
2
−
36
=
(
x
−
1
)
2
−
6
2
=
(
(
x
−
1
)
−
6
)
(
(
x
−
1
)
+
6
)
=
(
x
−
7
)
(
x
+
5
)
So
x
=
7
or
x
=
−
5
I used the difference of squares inequality along the way:
(
a
2
−
b
2
)
=
(
a
−
b
)
(
a
+
b
)
Step-by-step explanation:
Step-by-step explanation:
x2 + 2x - 35 = 0
x2 + 7x - 5x - 35
x(x + 7) - 5(x + 7)
(x - 5) (x + 7) = 0
x - 5 = 0. x + 7 = 0
x = 5. x = - 7