Question

Check all of the solutions to the linear-quadratic equation -1 3 7?

1) -1
2) 3
3) 7
4) (-1, 3)
5) (3, 7)

Answer 1

The solutions to the linear-quadratic equation -1x^2 + 3x + 7 = 0 can be found using the quadratic formula.

Step-by-step explanation:

The linear-quadratic equation can be written in the form ax^2 + bx + c = 0, where a, b, and c are constants. In the given equation -1x^2 + 3x + 7 = 0, the coefficients are -1, 3, and 7. To find the solutions, we can use the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

Plugging in the values, we get:

x = (-3 ± sqrt(3^2 - 4(-1)(7))) / 2(-1)

Simplifying further, we have:

x = (-3 ± sqrt(9 + 28)) / -2

x = (-3 ± sqrt(37)) / -2

So the solutions to the equation are approximately:

x ≈ (-3 + sqrt(37)) / -2 and x ≈ (-3 - sqrt(37)) / -2