Question

How do you solve `288 = 104x - 8x^2`?

Answer 1

Solve `y = 8x^2 - 104x + 288 = 0`
2 real roots: 4 and 9.

Explanation:

`y = 8(x^2 - 13x + 36) = 8g(x) = 0.` Solve g(x)
Find 2 numbers knowing sum (13) and product (36). Both roots are positive (Rule of Signs)
Factor pairs of 36 -> ...(3, 12)(4, 9). This sum is 13 = -b. Then the 2 real roots of g(x) are: 4 and 9.