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How do i solve a quadratic equation like this

Solve.
3n2 = 147



A{–3, 7}



B{–7, 3}



C{–49, 49}



D{–7, 7}

User Gln
by
8.3k points

2 Answers

1 vote

Answer:

D{–7, 7}

Dtep-by-step explanation:

3n² = 147

n² = 147/3

n² = 49

n = 7, -7

User Abba
by
8.2k points
3 votes

Answer:

Option D. {–7, 7}

Explanation:

3n^2 = 147

First, divide both side 3

n^2 = 147/3

n^2 = 49

Next, rearrange the variables to one side of the equation as shown below:

n^2 — 49 = 0

n^2 — 7^2 = 0

The above is now difference of two squares. This can be solve by doing the following:

(n — 7)(n + 7) = 0

n — 7 = 0 or n + 7 = 0

n = 7 or n = —7

User Pfunc
by
8.2k points

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