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In this unit we will look at how to solve quadratic equations using four methods: •. solution by factorisation. •. solution by completing the square. •. solution using a formula. •. solution using graphs.
• Substitute all three points (x,y) into the equation y = ax2 + bx + c to obtain a system of three equations for three unknowns (a,b, and c). • Solve the system to determine a,b, and c.
Free worksheet with answer keys on quadratic equations. Each one has model problems worked out step by step, practice problems, challenge proglems
Write a quadratic equation that goes through the points (0,5), (2,1), and (1,2).
Quadratic Equations. This unit is about the solution of quadratic equations. These take the form ax2 +bx+c = 0. We will look at four methods: solution by factorisation, solution by completing the square, solution using a formula, and solution using graphs.
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Solving Quadratics - All Methods Solve using the Quadratic Formula - Level 2 1) n2 + 9n + 11 = 0 2) 5p2 − 125 = 0 3) m2 + 5m + 6 = 0 4) 2x2 − 4x − 30 = 0 Solve using the Quadratic Formula - Level 3 5) b2 − 12 b + 10 = −10 6) 6r2 − 5r − 4 = 7 7) 7x2 − 16 = 6 8) 6n2 − 10 n − 16 = 3 Solve using the Quadratic Formula - Level 4
