Posted by Nicole on Wednesday, June 29, 2011 at 2:29pm.
Hints:
1. Factor: 4x^2-100y^2
use difference of two squares,
(a²-b²)=(a+b)(a-b)
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+9a-4=0
6. Solve 16x^2=25
isolate variable:
x²=(25/16)=(5/4)²
and solve for x.
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