Explained: "How do you solve 3n2=10n?" - Plainmath

Secondary
Algebra
Algebra I
Quadratic function and equation

pozicijombx

Answered question

2022-01-23

How do you solve

3 n^{2} = 10 n

?

Answer & Explanation

Addisyn Thompson

Beginner2022-01-24Added 16 answers

Step 1

{(3 n)}^{2} = 10 n

Dividing both sides by n.

\frac{{(3 n)}^{2}}{n} = 10 \frac{n}{n}

Applying the law of exponents,

3 n^{2 - 1} = 10

3 n = 10

Dividing 3 by both sides,

\frac{3 n}{3} = \frac{10}{3}

n = 3.33

KickAntitte06

Beginner2022-01-25Added 11 answers

Step 1

3 n^{2} = 10 n

\Rightarrow 3 n^{2} - 10 n = 0

\Rightarrow n \times (3 n - 10) = 0

∴ n = 0

or

n = \frac{10}{3}

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