Answer:
0.5826 units
Step-by-step explanation:
We are given that the area of a parallelogram is given by the equation
[tex]x^2+8x-5=0[/tex]
Where x= Length of base
We have to find the length of base
[tex]D=b^2-4ac[/tex]
We have
a=1,b=8,c=-5
Using the formula
[tex]D=8^2-4\times (-5)=84[/tex]>0
Now,
[tex]x=\frac{-b\pm \sqrt{84}}{2a}[/tex]
Using the formula
[tex]x=\frac{-8\pm \sqrt{84}}{2}[/tex]
[tex]x=\frac{-8\pm 2\sqrt{21}}{2}[/tex]
[tex]x=\frac{-8+2\sqrt{21}}{2}=-4+\sqrt{21}[/tex]
[tex]x=-4+4.5826=0.5826[/tex]
[tex]x=\frac{-8-2\sqrt{21}}{2}=-4-4.5826=-8.5826[/tex]
Length of base cannot be negative
Therefore, the length of base=0.5826 units
