Question

For what value of a does the equation ax^2−3x−5=0 have 1 as one of its roots?

Answer 1

Answer: When a = 8, one of the roots of the equation will be 1.

To solve this problem, you could graph the equation with a 1 in the place of the a on a graphing calculator (there are some online).

Then, just keep changing the a value until the graph crosses the x-axis at 1. When, you enter an a value of 8, it will have a root of 1.