Solve the equation by using the square root property.
\[
50-t^{2}=0
\]

Answer

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Answer

Final Answer: The solutions to the equation are \(t = \boxed{7.0710678118654755}\) and \(t = \boxed{-7.0710678118654755}\)

Steps

Step 1 ：Given the equation \(50-t^{2}=0\)

Step 2 ：Rearrange the equation to get \(t^{2} = 50\)

Step 3 ：Apply the square root property, which states that if \(x^{2} = c\), then \(x = \sqrt{c}\) or \(x = -\sqrt{c}\)

Step 4 ：Therefore, \(t = \sqrt{50}\) or \(t = -\sqrt{50}\)

Step 5 ：Solving for t, we get two solutions: \(t1 = 7.0710678118654755\) and \(t2 = -7.0710678118654755\)

Step 6 ：Final Answer: The solutions to the equation are \(t = \boxed{7.0710678118654755}\) and \(t = \boxed{-7.0710678118654755}\)