Quadratic EquationsPPT课件 SolvingEquations Aquadraticequationisanequationequivalenttooneoftheform ax2bxc0 Wherea,b,andcarerealnumbersanda0 Soifwehaveanequationinxandthehighestpoweris2,itisquadratic.Tosolveaquadraticequationwegetitintheformabove andseeifitwillfactor.x25x6 Getformabovebysubtracting5xandadding6...
Quadratic Equations Adapted from: Vertex Formula Quadratic Equations Adapted from: Vertex Formula: Y = a( x - h )2 + k A=Second constant difference divided by 2 H=horizontal shift K=Vertical shift Vertex The vertex is the lowest or highest point on our parabola. SO the vertex is also th...
Equations in Quadratic Form You can also use the Quadratic Formula to solve equations with the variable as part of a function. We can have 3x-2 as our variable term or 1/2x. In general an Equation in Quadratic Form is an equation that has a function of x in place of the variable. a...
线性代数课件 chapter1 Linear Equations in Linear Algebra.ppt,Example : let T: R2→R2 be the transformation that rotates each point in R2 about the origin through an angle , with counter clockwise rotation for a positive angle. We could show geometrically
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15.5Second-OrderLinearEquations Asecond-orderlineardifferentialequationhastheform (1)P(x)d2yQ(x)dyR(x)yG(x)dx2 dx whereP,Q,R,andGarecontinuousfunctions.IfG(x)=0forallx,suchequationsarecalledsecondorderhomogeneouslinearequations.(ThisuseofthewordhomogeneoushasnothingtodowiththemeaninggiveninSection15....
The quadratic formula shows that there are two complex roots: The general solution takes the form ;17.1 Nonhomogeneous Linear Equations;Theorem The general solution of the nonhomogeneous differential equation (1) can be written as y(x) = yp(x)+yc(x) where yp is a particular solution of ...
Quadratic Simultaneous Equations 𝑥 2 + 𝑦 2 =18 𝑦−2𝑥=3 𝑥 2 + 𝑦 2 =40 x+𝑦=4 𝑥 2 + 𝑦 2 =5 𝑦=3𝑥+1 𝑥 2 + 𝑦 2 =13 x−2𝑦=1 Quadratic Simultaneous Equations Solutions 𝑥=−3, 𝑦=−3 𝑥=0.6, 𝑦=4.2 𝑥=6, 𝑦=−2 𝑥...