Question

Make equation with these roots 8± √15?

Answer 1

x² - 16x + 49 = 0

Explanation:

If a polynomial has roots a and b, then the polynomial is (x - a)(x - b).

[x - (8 + √15)][x - (8 - √15)] = 0

[(x - 8) - √15][(x - 8) + √15] = 0

(x - 8)² - (√15)² = 0

x² - 16x + 64 - 15 = 0

x² - 16x + 49 = 0