Home/Calculus II/Trigonometric substitution and quadratic radicals/Completing the squareSection 7.3Completing the squareBefore using trigonometric substitution, a quadratic must be written in a standard form:Copy LaTeXx2+Bx+C=(x+B2)2+C−B24.x^2+Bx+C=\left(x+\frac{B}{2}\right)^2+C-\frac{B^2}{4}.x2+Bx+C=(x+2B)2+C−4B2.View detail →For example,FormulaCopy LaTeX2ax−x2=a2−(x−a)2.2ax-x^2=a^2-(x-a)^2.2ax−x2=a2−(x−a)2.View detail →
Before using trigonometric substitution, a quadratic must be written in a standard form:Copy LaTeXx2+Bx+C=(x+B2)2+C−B24.x^2+Bx+C=\left(x+\frac{B}{2}\right)^2+C-\frac{B^2}{4}.x2+Bx+C=(x+2B)2+C−4B2.View detail →