Question

For which equation do the product of the roots equal 7/4 and the sum equal 9/4​?

Answer 1

To find the equation with roots that have a product of 7/4 and a sum of 9/4, you can use the quadratic formula.

Step-by-step explanation:

To find an equation with roots that have a product of 7/4 and a sum of 9/4, we can use the quadratic formula. Let's assume the equation is in the form ax^2 + bx + c = 0. We know that the product of the roots is equal to c/a, and the sum of the roots is equal to -b/a. Therefore, we have the following equations:

1. c/a = 7/4
2. -b/a = 9/4

Solving these equations simultaneously, we can find the values of a, b, and c, which will give us the desired equation.