query: Why do many equations need squared powers?
positive_passages.docid: 79160
positive_passages.text: Why do most formulas in physics have integer and rational exponents?
negative_passages.docid: 61134
negative_passages.text: Solving cubic equations with another method.
negative_passages.docid: 3948
negative_passages.text: Why do we require radians in calculus?
negative_passages.docid: 150624
negative_passages.text: Why does the square root of a square involve the plus-minus sign?
negative_passages.docid: 102138
negative_passages.text: Why does $\sqrt{x^2}$ seem to equal $x$ and not $|x|$ when you multiply the exponents?
negative_passages.docid: 144515
negative_passages.text: Equation with high exponents
negative_passages.docid: 38954
negative_passages.text: Is there a convention for power of a half being the positive square root?
negative_passages.docid: 17265
negative_passages.text: Intuition for why equations of the form $k^x=x^c$ are not solvable trivially?
negative_passages.docid: 122831
negative_passages.text: Why does putting a 1/2 in front of the squared error make the math easier?
negative_passages.docid: 79012
negative_passages.text: Why is it so hard to find the roots of polynomial equations?
negative_passages.docid: 67588
negative_passages.text: Why does $|e^{ix}|^2 = 1$?
negative_passages.docid: 80549
negative_passages.text: Why is it called a quadratic if it only contains $x^2$, not $x^4$?
negative_passages.docid: 153111
negative_passages.text: factoring a quadratic equation
negative_passages.docid: 82823
negative_passages.text: Attractive Boxed Equations
negative_passages.docid: 40063
negative_passages.text: $x^2+y^2=z^n$: Find solutions without Pythagoras!
negative_passages.docid: 3955
negative_passages.text: Square roots -- positive and negative
negative_passages.docid: 377
negative_passages.text: Problem involving many squares and several variables.