SOLUTION: solve the equation 1/4a^2 + 3/4a = 1 a. a =4 and a=1 b. a= -4 and a = 1 c. no solution d. a = 3/4 If you could please help me understand this ty

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: solve the equation 1/4a^2 + 3/4a = 1 a. a =4 and a=1 b. a= -4 and a = 1 c. no solution d. a = 3/4 If you could please help me understand this ty      Log On


   

Question 631721: solve the equation 1/4a^2 + 3/4a = 1
a. a =4 and a=1
b. a= -4 and a = 1
c. no solution
d. a = 3/4
If you could please help me understand this ty
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
solve the equation 1/4a^2 + 3/4a = 1
First multiply through by 4a^2 to get rid of the denominator:
1 + (3*4a^2)/4a = 4a^2
1 + 3a = 4a^2
Put in standard form:
4a^2 - 3a - 1 = 0
This can be factored as [check]:
(4a+1)(a-1) = 0
This has solutions a = -1/4, a = 1