Question

Solve the following (c) 60 - x² = 56

Answer 1

x
=
−
7
or
x
=
−
8

Explanation:
Find a pair of factors of
56
with sum
15
.
The pair
7
,
8
works in that
7
⋅
8
=
56
and
7
+
8
=
15

Hence:
0
=
x
2
+
15
x
+
56
=
(
x
+
7
)
(
x
+
8
)

So:
x
=
−
7
or
x
=
−
8


Alternative method

Answer 2

The answer is 2 your welcome