10.1_Solving_Quadratic_Equations_by_Completing_the_Square.pdf

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Chapter 10 Quadratic Equations and Functions Section 10.1 Solving Quadratic Equations by Completing the Square Solve Quadratic Equations Using the Square Root PropertyExample 1:How to solve a Quadratic Equation Using the Square Root Property Solve. a)290x=b)23600x=Square Root PropertyIf 2xp=, then xp=or xp= −. Solving Quadratic Equations Using the Square Root PropertyStep 1:Isolate the expression containing the square term.Step 2:Use the Square Root Property. If 2xp=, thenxp= .Step 3:Isolate the variable, if necessary.Step 4:Verify your solution(s).
c)()25240y++=d)()2225x=Complete the Square in One VariableThe idea behind completing the squareis to “adjust” the left side of a quadratic equation of the form 2xbxc++in order to make it a perfect square trinomial.Solving a Quadratic Equation by Completing the SquareStep 1:Rewrite 20xbxc++=as 2xbxc+= −by subtracting the constant from both sides of the equation.

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