Quadratic Equations Solving Equations
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Four ways of solving quadratic equations- worked examples
www.greatmathsteachingideas.comMethod 3- Solving By Using The Quadratic Formula Step 1- get the values of a, b and c to use in the formula Solve x2 + 2x - 8 = 0 Solutions x = -4 or 2 ax2 + bx + c = 0 x2 + 2x - 8 = 0 Therefore a = 1, b = 2, c = -8 Step 2- substitute these values for a, b and c into the quadratic formula and go on to simplify and solve for x x = -b ± √(b2 ...
9.6 Solving Nonlinear Systems of Equations
www.jacksonsd.org528 Chapter 9 Solving Quadratic Equations MMonitoring Progressonitoring Progress Help in English and Spanish at BigIdeasMath.com Solve the system by substitution. 4. y = 5.x2 + 9 y = −5x 6. y = −3x2 + 2x + 1 y = 9 y = x2 − 3x − 3 y = 5 − 3x Solve the system by elimination.
9.4 Quadratics - Quadratic Formula - CCfaculty.org
www.wallace.ccfaculty.orgQuadratics - Quadratic Formula Objective: Solve quadratic equations by using the quadratic formula. The general from of a quadratic is ax2 + bx + c = 0. We will now solve this for-mula for x by completing the square Example 1. ax2 + bc+ c=0 Separateconstantfromvariables − c− c Subtractcfrombothsides ax2 + bx = − c Divideeachtermbya a a a
Quadratic Equations By Completing the Square
cdn.kutasoftware.comSolving Quadratic Equations By Completing the Square Date_____ Period____ Solve each equation by completing the square. 1) p2 + 14 p − 38 = 0 2) v2 + 6v − 59 = 0 3) a2 + 14 a − 51 = 0 4) x2 − 12 x + 11 = 0 5) x2 + 6x + 8 = 0 6) n2 − 2n − 3 = 0 7) x2 + 14 x − 15 = 0 8) k2 − 12 k + 23 = 0 9) r2 − 4r − 91 = 7 10) x2 − 10 x ...