Question

What is the positive solution to the quadratic equation F(x) = x^2 - 3x - 18?

a) x = 6
b) x = -3
c) x = 9
d) x = -6

Answer 1

The positive solution to the quadratic equation F(x) = x^2 - 3x - 18 is x = 6, which is found by factoring the quadratic into (x - 6)(x + 3) = 0.

Step-by-step explanation:

To find the positive solution to the quadratic equation F(x) = x2 - 3x - 18, we can factor the quadratic or use the quadratic formula. Factoring is the simpler approach for this equation. The factors of -18 that add up to -3 (the coefficient of the x term) are -6 and +3. Therefore, we can write the quadratic as:

(x - 6)(x + 3) = 0

Setting each factor equal to zero gives us the solutions for x:

• x - 6 = 0 → x = 6
• x + 3 = 0 → x = -3

The positive solution is therefore x = 6.