Answer:
Width=10
Length=18
Step-by-step explanation:
The length is 2 feet less then twice the width
Let the width be x.
Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.
x(2x-2)=180
2x^2 - 2x - 180 = 0
2( x^2 - x - 90) = 0
We now have a factorable quadratic.
2(x+9)(x-10)=0
So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.
So x=10
Then the width is 10 and the length is 18
Hope this helps! Let me know if it is correct!
Important: 35x2 12x − 36 is not an equation; to obtain an equation, you must set <span>35x2 12x − 36 = to 0:
</span><span>35x^2 + 12x − 36 = 0. Also, "the square of x" must be represented by "x^2," and you must insert either the + or the - sign in front of the term 12x.
I am assuming that you meant </span>35x^2 + 12x − 36 = 0.
If that is indeed the case, then a = 35, b = 12 and c = -36
and the discriminant is b^2 - 4ac, or (12)^2 - 4(35)(-36) = 5184.
Since the discriminant is positive, this equation has 2 real, unequal solutions. They are
-12 plus or minus sqrt(5184)
x = -----------------------------------------
2(35)
Answer:
Step-by-step explanation:
-3.9364916731