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Equations. Objectives for today’s lesson : Solving Equations using Trial & Improvement. Starter. Find the value of x in each of these equations : 5x = 45 x/8 = 6 3x + 2 = 23 5x – 8 = 17. Starter. Find the value of x in each of these equations : 5x = 45 x = 9
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Equations Objectives for today’s lesson : • Solving Equations using Trial & Improvement
Starter Find the value of x in each of these equations : 5x = 45 x/8 = 6 3x + 2 = 23 5x – 8 = 17
Starter Find the value of x in each of these equations : 5x = 45 x = 9 x/8 = 6 x = 48 3x + 2 = 23 x = 7 5x – 8 = 17 x = 5
Trial & Improvement In some equations, it is very difficult to find the value of x. We can find an estimate for x using ‘Trial & Improvement’
Trial & Improvement Example Solve x2 + x = 420
Trial & Improvement Example Solve x2 + x = 420
Trial & Improvement Example Solve x2 + x = 420
Trial & Improvement Example Solve x2 + x = 420
Trial & Improvement Example Solve x2 + x = 420
Trial & Improvement Example Solve x2 + x = 420
Trial & Improvement Example Solve x2 + x = 420
Trial & Improvement Try Solve x2 + x = 30
Trial & Improvement Questions to try x2 – x = 702 x3 + 2x = 135 x3 + 2x = 1752 x3 – 1 = 10 (this does not have an exact answer)
Trial & Improvement Questions to try x2 – x = 702 x = 27 x3 + 2x = 135 x = 5 x3 + 2x = 1752 x = 12 x3 – 1 = 10 x = 2.2