Respuesta :
Answer:
Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches
Step-by-step explanation:
[tex]Height = H[/tex]
[tex]Width = H + a[/tex]
[tex]Area = Height x Width[/tex]
[tex]b = H * (H + a)[/tex]
[tex]b = H^{2} + aH[/tex]
[tex]H^{2} + aH > 80[/tex]
[tex]H^{2} + aH - 80 > 0[/tex]
a<5 means 'a' can be a = 1, 2, 3, 4
Solving for H for each option of 'a' will give values of 'H' using the quadratic formula below
[tex]H = \frac{-b\±\sqrt{b^{2}-4ac}}{2a}[/tex]
As 'a' and 'b' must be positive integers, H and W must be positive integers as well,
[tex]a = 1, H = 8.46, H = -9.46 [/tex]
[tex]a = 2, H = 8, H = -10 [/tex]
[tex]a = 3, H = 7.57, H = -10.57 [/tex]
[tex]a = 4, H = 7.17, H = -11.17 [/tex]
Based on above possible answers:
[tex]a=2, H=8[/tex]
[tex]W = H + a[/tex]
[tex]W = 8 + 2[/tex]
[tex]W = 10[/tex]
Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches
