© T Madas Trial and Improvement

© T Madas Find the solution of x 2 + 2x = 39 to 1 decimal place, given that x lies between 5 and 6. too high too low too high too high too high too low resultx 2 + 2x2x2xx 2x 2 x x ≈ 5.3

© T Madas Find the solution of x 3 – 2x = 280 to 1 decimal place, given that x lies between 6 and 7. too high too high too low too low too high too low resultx 3 – 2x2x2xx 3x 3 x x ≈ 6.6

© T Madas too low x 2 too low too high too high too low too high too high too low99331 resultx + x 2 x Find the solution of x 2 + x = 1000 to 2 decimal places, given that x lies between 31 and 32. x ≈ 31.13

© T Madas Find to 2 d.p. the square root of 70, i.e 70 without using the square root button. too low too high too low too low too low too high too high too high819 too low648 resultsquare ittry 70 ≈ 8.37

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Solve these equations by trial and improvement to 1 d.p. x lies between 16 and 172x 2 – 3x = 500 x lies between 3 and 4x 3 – x = 50 x lies between 2 and 3x 2 + 2x = 10 x lies between 4 and 5x 2 + x = 25

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Find the solution of x 3 + 3x = 11 to 2 decimal places, given that it lies between 1 and 2. too high too high too low too low too low too low too high too low too low resultx 3 + 3xx x ≈ 1.78

© T Madas Find the solution of x 3 + x = 10 to 3 decimal places, given that it lies between 2 and 3. too high too high too low too low too low too high too high too high too high resultx 3 + xx x ≈ 2.046

© T Madas Find the solution of x 3 – x = 30 to 3 decimal places, given that it lies between 3 and 4. too high too low too high too high too low too low too high too high resultx 3 – xx x ≈ 3.214

© T Madas Solve these equations by trial and improvement to 2 d.p. The root lies between the values given.

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