/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 60 \(-y^2=x^2-36\)... [FREE SOLUTION] | 91影视

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Chapter 5: Problem 60

\(-y^2=x^2-36\)

Short Answer

Expert verified
The solutions to the equation are \(y=\sqrt{-(x^2-36)}\) and \(y=-\sqrt{-(x^2-36)}\)

Step by step solution

01

1. Rearrange to Isolate y^2

First, we need to make y^2 the subject of the equation. Therefore, we rearrange the equation \(-y^2=x^2-36\) to \(y^2=-x^2+36\).
02

2. Take the Square Root

In order to solve for y, take the square root of both sides. This yields two possible solutions, one is the positive root, the other is the negative root. So, we have \(y=\sqrt{-x^2+36}\) and \(y=-\sqrt{-x^2+36}\).
03

Simplify the Equation

Finally, let's simplify the equation. The expression \(\sqrt{-x^2+36}\) can be simplified by taking out the '鈭�' sign as a common factor. Consequently, we have \(y=\sqrt{-(x^2-36)}\) and \(y=-\sqrt{-(x^2-36)}\)

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