Cool Factorisation

Descartes' Rule of Signs says it can't have positive solutions. There was only one choice with all numbers negative.

Ha ha used a different solution , i used vieta formulas for sum and product so $x1+x2=-b/a$ and $x1*x2=c/a$ by vieta so $x1+x2=-2$ and product is $x1*x2=3/4$ and we see that $-1.5,-.5$ is the solution we need.

Descartes' Rule of Signs' says it can't have only positive solutions.that means if there is two solutions one must have to be negative

There was only one choice with all numbers negative.so,either one has to be negative or both has to be negative.both can not be positive

so,option 1 is the answer

Using factor method 4x² + 8x + 3 = 4x² + 6x + 2x + 3 = 0

2x(2x + 3) + 1(2x + 3) = 0

(2x + 1)(2x + 3) = 0

Then x = – 1/2 or – 3/2

4x^2+8x+3=0 => 4(x+1)^2-1=0 => x+1=1/2 and -1/2 => x= -1.5 and -0.5