Explanation: 3 x 2 + 10 x + 3 We can Split the Middle Term of this expression to factorise it. In this technique, if we have to factorise an expression like a x 2 + b x + c , we need to think of 2 numbers such that: N 1 ⋅ N 2 = a ⋅ c = 3 ⋅ 3 = 9 and, N 1 + N 2 = b = 10 After trying out a few numbers we get: N 1 = 9 and N 2 = 1 9 ⋅ 1 = 9 , and 9 + ( 1 ) = 10 3 x 2 + 10 x + 3 = 3 x 2 + 9 x + 1 x + 3 = 3 x ( x + 3 ) + 1 ( x + 3 ) ( 3 x + 1 ) ( x + 3 ) is the factorised form for the expression.

c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
3
⋅
3
=
9

and,
N
1
+
N
2
=
b
=
10
After trying out a few numbers we get:
N
1
=
9
and
N
2
=
1

9
⋅
1
=
9
, and
9
+
(
1
)
=
10
3
x
2
+
10
x
+
3
=
3
x
2
+
9
x
+
1
x
+
3

=
3
x
(
x
+
3
)
+
1
(
x
+
3
)
(
3
x
+
1
)
(
x
+
3
)
is the factorised form for the expression.

6 0

2 years ago

I was told that the answer to this is -7 but I don't understand how to get there.

Amiraneli [1.4K]

Answer:

The answer to your question is: - 7

Step-by-step explanation:

3125 = (- 1 - 18t) ⁵/³

(3125)³ = ( -1 - 18t)⁵

(3125)³/⁵ = - 1 - 18t

125 = - 1 - 18t

125 + 1 = - 18t

126 = - 18t

t = 126 / -18

t = -7

3125³ = 3.0518 x 10¹⁰

$\sqrt[5]{3.0518 x 10¹⁰}$ = 125

6 0

3 years ago