What are the solutions to the quadratic equation xº - 36 = 0? A) 36 and -36 B) 72 and -72 C) 6 and -6 D) 18 and -18
Mathematics · Middle School · Tue Nov 03 2020
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Given the quadratic equation:
x^2 - 36 = 0
Determine the solution.
Solution:
Transpose 36 on the other side of the equation, note that when transposing a number, the sign changes.
x^2 - 36 = 0
x^2 = 36
Take the square root of both sides in order to find the value of x.
√x^2 = √36
x = ±6
We use ± 6, since the square of a positive and negative number is the same.
Final answer:
C) 6 and -6