Hmm..
lets start with the polynomial
(x+13)(-x+12)
= -x^2 - x + 156
part b)
The discriminant is everything inside the square root of the quadratic formula
150= -x^2 - x + 156
-x^2-x+6
a=1
b=-1
c=6
so:
b^2-4*a*c is the discriminant
-1^2 - 4*-1* 6 = 25
and 25 > 0
part c)
Just solve the roots for
150= -x^2 - x + 156
x=-2,3
where 2 is the real solution
you want to build a playhouse for your sister in your backyard. You have the blue print which show the playhouse is 13 feet long and 12 feet wide. you want to change the dimension such that the lenght will be decreased and the width will be increased by the same value. a) write a polynomial that represents the new area of the play room. b) use the discriminant to show that it is possible to change the playroom and have new area of 150 ft^2. c) find the new dimensions of the playroom when its are is 150ft^2.
1 answer
1 answer