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What are the solutions to the equation x2 − 1 = 399?

User Scvnc
by
8.2k points

2 Answers

3 votes

Answer:

x = ±20

Explanation:

x² - 1 = 399

x² = 400

x = ±√(400)

x = ±20

User Stackdave
by
8.5k points
2 votes

Hello !

Answer:


\boxed{\sf x=\pm 20}

Explanation:

We want to solve the following equation :


x^2-1=399

Let's add 1 to both sides :


x^2-1+1=399+1\\x^2=400

We know that if
x^2=a (assuming
a\geq 0), then
x=\pm\sqrt a.

Let's apply this to our equation :


\sf x=\pm \sqrt {400}\\x=20\ \sf{or}\ x=-20

This equation has two solutions: x = 20 and x = -20

Have a nice day !

User Giuppep
by
7.9k points

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