Question

4n^(2)+4n=3 Please help with the work

Answer 1

Answer:

n= 1/2 ( $\frac{1}{2}$ )  or  (0.5)

AND

n= -3/2 ( $-\frac{3}{2}$ ) 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 ( $\frac{1}{2}$ )  or  (0.5)

2. 2n+3=0

( subtract 3 for both sides)

2n=-3

(divide by 2 for both sides)

n= -3/2 ( $-\frac{3}{2}$ ) or (-1.5)