Given the trinomial 5x2 − 2x − 3, predict the type of solutions. two rational solutions one rational solution two irrational solutions two complex solutions

Option a, two rational solutions.

Step-by-step explanation:

It is given the trinomial as

This is a quadratic equation in standard form.

To find the nature of roots let us analyse the discriminant.

Discriminant of the quadratic equation

=

Since discriminant is a perfect square, we see that the roots will be rational.

Hence two rational solutions is the answer.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6