So the equation is 2x^2 + 7x + 3 = 0, let’s factor this out: 2x^2 + 6x + x + 3 = 0, so 2x(x+3) + 1(x+3) = 0, so (2x+1)(x+3)=0, so x = -1/2 or -3
The ratio (red to blue) of the perimeters of the similar triangles is 12:7
Assuming that the similar triangles are equilateral triangles, then all their sides will be equal.
Perimeter of a triangle = s1 + s2 + s3
For the red triangle;
Perimeter of the red triangle = 12 + 12 + 12
Perimeter of the red triangle = 36
For the blue triangle:
Perimeter of the blue triangle = 7 + 7 + 7
Perimeter of the blue triangle = 21
Taking the ratio of their perimeters;
Ratio of red to blue = 36:21 = 12:7
Hence the ratio (red to blue) of the perimeters of the similar triangles is 12:7
Learn more here: brainly.com/question/15046223
