Target Mathematics

1.7: Estimate roots using a graph

4PM1/1/June/2023 — Question 3 · 5 marks

1.7 diagram 1
Figure 1 shows part of the curve with equation y=x2+4x2y = \frac{x}{2} + \frac{4}{x^2} in the interval 0.8<x<70.8 < x < 7
By drawing a suitable straight line on the grid, obtain an estimate, to one decimal place, of the roots of the equation 3x312x2+8=03x^3 - 12x^2 + 8 = 0 in the interval 0.8<x<70.8 < x < 7
(5)