Question

Solve the equation. 2x2 + 24x + 72 = 0 options: {−6} {−6,0} {−9,−6, 0} {−9,−4}

Answer 1

{-6} is the correct answer

Answer 2

{-6, - 6}

Explanation:

Reduce this equation by dividing all 4 terms by 2:

x^2 + 12X + 36 = 0

Note that the quadratic can be rewritten as the square of a binomial:

(x + 6)^2 = 0 => (x + 6) = ±0

This in turn results in x = -6 and x = -6 (a double, real root).

Of the given solutions, (-6, 0) is the best if you want a point on the graph. If you want just a numerical solution, -6 is acceptable.