✔ 最佳答案
a)
Length * Width = Area of the base
(2x + 5) x = 58
2x² + 5x = 58
2x² + 5x - 58 = 0
b)
For equation ax² + bx + c = 0
x = [-b ± √(b² - 4ac)] / (2a)
For equation 2x² + 5x - 58 = 0
x = {-5 ± √[5² - 4*2*(-58)]} / (2*2)
x = (-5 ± √489) / 4
x = 4.2783, -6.7783
x = 4.28, -6.78 (to 2 decimal places)
c)
For the box, reject x = -6.78
Hence, x = 4.28
Volume of the box
= Base area * Height
= 58 (x - 2) cm³
= 58 * (4.28 - 2) cm³
= 58 * 2.28 cm³
= 132.24 cm³