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A quadratic equation takes the form ax2 +bx+c = 0 where a, b and c are numbers. The number a cannot be zero. 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
Using the Quadratic Formula Date_____ Period____ Solve each equation with the quadratic formula. 1) m2 − 5m − 14 = 0 {7, −2} 2) b2 − 4b + 4 = 0 {2} 3) 2m2 + 2m − 12 = 0 {2, −3} 4) 2x2 − 3x − 5 = 0 {5 2, −1} 5) x2 + 4x + 3 = 0 {−1, −3} 6) 2x2 + 3x − 20 = 0 {5 2, −4} 7) 4b2 + 8b + 7 = 4 {− 1 2, − 3 2}
Quadratic Formula Practice Problems with Answers. Below are ten (10) practice problems regarding the quadratic formula. The more you use the formula to solve quadratic equations, the more you become expert at it! Use the illustration below as a guide.
This topic introduces quadratic functions, their graphs and their important characteristics. Quadratic functions are widely used in mathematics and statistics. They are found in applied and theoretical mathematics, and are used to model non-linear relationships between variables in statistics.
We will derive a transformation form for a general quadratic function, an equation that identifies the vertex and axis of symmetry of the graph, but to graph any particular quadratic, you may not need all of the steps.
Guidance. Read each question carefully before you begin answering it. Donʼt spend too long on one question. Attempt every question. Check your answers seem right. Always show your workings. Revision for this topic. Write down the quadratic formula. Solve the equation x2 + 5x + 1 = 0. Give your answers to one decimal place.
• Read each question carefully before you start to answer it. • Keep an eye on the time. • Try to answer every question. • Check your answers if you have time at the end mathsgenie.co.uk
