Question

Find the solutions to the equation below. Check all that apply. 30x^2-26x+4=0

A.x=1/2
B.x=1/5
C.x=4/5
D.x=1/3
E.x=3/5
F.x=2/3

Answer 1

B. x = 1/5

F. x = 2/3

Explanation:

`30x^2-26x+4=0\\\\30x^2-20x-6x+4=0\\\\10x(3x-2)-2(3x-2)=0\\\\(3x-2)(10x-2)=0\iff3x-2=0\ \vee\ 10x-2=0\\\\3x-2=0\qquad\text{add 2 to both sides}\\\\3x=2\qquad\text{divide both sides by 3}\\\\x=(2)/(3)\\\\10x-2=0\qquad\text{add 2 to both sides}\\\\10x=2\qquad\text{divide both sides by 10}\\\\x=(2:2)/(10:2)\\\\x=(1)/(5)`