Solving Quadratic Equations

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Presentation transcript:

Solving Quadratic Equations ALGEBRA 1 LESSON 9-1 Solve each equation by graphing the related function. a. 2x2 = 0 b. 2x2 + 2 = 0 c. 2x2 – 2 = 0 Graph y = 2x2 Graph y = 2x2 + 2 Graph y = 2x2 – 2 There is one solution, x = 0. There is no solution. There are two solutions, x = ±1. 9-1

Solving Quadratic Equations ALGEBRA 1 LESSON 9-1 A museum is planning an exhibit that will contain a large globe. The surface area of the globe will be 315 ft2. Find the radius of the sphere producing this surface area. Use the equation S = 4 r2, where S is the surface area and r is the radius. 5.007 r The radius of the sphere is about 5 ft. 9-1

Solving Quadratic Equations ALGEBRA 1 LESSON 9-1 1. Solve each equation by graphing the related function. If the equation has no solution, write no solution. a. 2x2 – 8 = 0 b. x2 + 2 = –2 2. Solve each equation by graphing the related function. a. m2 – 25 = 0 b. 49q2 = 9 3. Find the speed of a 4-kg bowling ball with a kinetic energy of 160 joules. Use the equation E = ms2, where m is the object’s mass in kg, E is its kinetic energy, and s is the speed in meters per second. ±2 no solution ±5 3 7 ± 1 2 about 8.94 m/s 9-1