Answer:
n= 1/2 ( [tex]\frac{1}{2}[/tex] ) or (0.5)
AND
n= -3/2 ( [tex]-\frac{3}{2}[/tex] ) or (-1.5)
Step-by-step explanation:
4n^2+4n=3
step1: move 3 to the other side and make the equation equal to zero.
4n^2+4n-3=0
step2: factorise the equation.
(2n-1)(2n+3)=0
step3: make each bracket equal to zero.
2n-1=0
2n+3=0
step4: solve for n values.
1. 2n-1=0
(add 1 for both sides)
2n=1
(divide by 2 for both sides)
n= 1/2 ( [tex]\frac{1}{2}[/tex] ) or (0.5)
2. 2n+3=0
( subtract 3 for both sides)
2n=-3
(divide by 2 for both sides)
n= -3/2 ( [tex]-\frac{3}{2}[/tex] ) or (-1.5)
