Question

Solve the equation using factoring or the quadratic formula, whichever is appropriate. Make sure to simplify your answers.

0.01y2−0.02y−0.04=0

Answer 1

Explanation:

Eliminate the fractions first. Multiply all terms by 100, obtaining:

y^2 - 2y + 4 = 0. The quadratic equation is the faster method here. The discriminant, b^2 - 4ac, is 4 -4(1)(4), or 4(-15). Because this result is negative, the equation has two complex roots:

-(-2) ± √(4)(-15)

x = ------------------------

2

or

2 ± 2i√15

x = -----------------

2