Algebra II
posted by Nicole on .
How do I solve the following problems??
1. Factor: 4x^2100y^2
2. Factor: 3x^2+27
3. Solve 3x^2+9x=0
4. Solve 12^2+30x=12
5. 9a(a+1)=4
6. Solve 16x^2=25

Hints:
1. Factor: 4x^2100y^2
use difference of two squares,
(a²b²)=(a+b)(ab)
2. Factor: 3x^2+27
the common factor is 3.
3. Solve 3x^2+9x=0
factor and solve:
3x(x+3)=0
therefore
x=0 or x=?
4. Solve 12^2+30x=12
Factor out the 6, and then factor completely to solve for x:
6(2x²+5x+2)=0
Hint: it's in the form
(2x 1)(x 2)
5. 9a(a+1)=4
Expand, transpose everything to the left, and then factor.
9a²+9a4=0
6. Solve 16x^2=25
isolate variable:
x²=(25/16)=(5/4)²
and solve for x.