SaiBook.us Algebra

Home Course Section Lessons: L1 L2 L3 L4 L5 L6 L7 L8 L9 L10

Register Enroll

Step-5

Title: Solve the equation

Grade: 7-b Lesson: S2-L9

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Steps	Problem	Solution
1	Solve	\$ 125n^3 = 625 \$
2	Move constant term to the right side	\$ 125n^3 = 625 \$
4	Dividing on both sides by '\$ 125\$' of the equality	\$ \cancel(125)^1/ \cancel(125)^1 n^3 = \cancel(625)^5/ \cancel(125)^1 \$
5	After cancelation	\$ n^3 = 5 \$
6	Applying cube root on both sides	\$ root3(n^3) = root3(5) \$
7	After Simplification	\$ n = 5\sqrt5 \$
8	Answer	D = \$ n = 5\sqrt5 \$

Steps

Problem

Solution

Solve

\$ 125n^3 = 625 \$

Move constant term to the right side

\$ 125n^3 = 625 \$

Dividing on both sides by '\$ 125\$' of the equality

\$ \cancel(125)^1/ \cancel(125)^1 n^3 = \cancel(625)^5/ \cancel(125)^1 \$

After cancelation

\$ n^3 = 5 \$

Applying cube root on both sides

\$ root3(n^3) = root3(5) \$

After Simplification

\$ n = 5\sqrt5 \$

Answer

D = \$ n = 5\sqrt5 \$