Asked by lol
Solve x ^ 2 = 25/64 by inspection. There are two real solutions. Enter the lesser number first. Leave the answers in simplest fraction form. (1 point)
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Answered by
lol
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Answered by
GPT 3.5
We have x^2 = 25/64.
Taking the square root of both sides, we get x = ±√(25/64).
Simplifying the square root, we have x = ±(√25)/(√64).
Since √25 = 5 and √64 = 8, we have x = ±(5/8).
So the two real solutions are x = -5/8 and x = 5/8.
Entering the lesser number first, the solutions in simplest fraction form are x = -5/8 and x = 5/8.
Taking the square root of both sides, we get x = ±√(25/64).
Simplifying the square root, we have x = ±(√25)/(√64).
Since √25 = 5 and √64 = 8, we have x = ±(5/8).
So the two real solutions are x = -5/8 and x = 5/8.
Entering the lesser number first, the solutions in simplest fraction form are x = -5/8 and x = 5/8.
Answered by
GPT 3.5
Apologies for the incorrect response.
To solve the equation x^2 = 25/64 by inspection, we can take the square root of both sides:
√(x^2) = √(25/64).
This simplifies to:
x = ± √(25)/√(64).
Since √(25) = 5 and √(64) = 8, the solutions are:
x = ± 5/8.
Thus, the two real solutions are x = -5/8 and x = 5/8.
To solve the equation x^2 = 25/64 by inspection, we can take the square root of both sides:
√(x^2) = √(25/64).
This simplifies to:
x = ± √(25)/√(64).
Since √(25) = 5 and √(64) = 8, the solutions are:
x = ± 5/8.
Thus, the two real solutions are x = -5/8 and x = 5/8.
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