Question

Did I do this correctly? I choose one rational solution.

Answer 1

For this question we will use the following formula for the discriminant of a quadratic function:

`\Delta=b^2-4ac.`

Where a, b, and c are the coefficients of the quadratic equation:

`ax^2+bx+c=0.`

Substituting a=1, b=4, and c=7 we get:

`\Delta=4^2-4(1)(7)=16-28=-12.`

Answer: The discriminant tells us there are two complex solutions.