what is the positive solution to x^2 + 9x - 22 = 0

Answer 1

The positive solution to the equation x^2 + 9x - 22 = 0 can be found by solving the quadratic equation. We can use the quadratic formula:

x = (-b + √(b^2 - 4ac)) / 2a

Plugging in the values from the given equation:

a = 1, b = 9, c = -22

x = (-9 + √(9^2 - 4(1)(-22))) / 2(1)

x = (-9 + √(81 + 88)) / 2

x = (-9 + √169) / 2

x = (-9 + 13) / 2

x = 4 / 2

x = 2

Therefore, the positive solution to the equation x^2 + 9x - 22 = 0 is x = 2.