Kai Savitt
Algebra 2 Semester 1
16 October 2018
Determine if 9x2 - 42x + 49 can be the area of a square. If so, what would the value of x
have to be if the area of the square is 64 square meters?
A = s2
First, we factorize the polynomial, which gives us (3x-7)^2
Secondly, since (3x-7)^2 is a perfect square, it can be the area of a square.
So now we know it’s possible let’s make the equation 9x^2-42x+49=64 (pulled from question above)
So now simplified will be, (3x-7)^2 = (+ or – 8)^2
Because 64 can be either -8*-8 or 8*8
And square root both sides will give us 3x-7 = + or minus -8
If we solve for x we will get
X = 5 or X= -1/3
And sense we can’t have a negative value for length
The answer will be X=5