Question

For (0) + 2x5x6, find the following:

a. List the possible rational roots + P 4
b. Find one of the roots using synthetic division
c. Factor the resulting quadratic,
Complete Factorization: Roots Classification (circle one) Rational Irrational

Answer 1

To find the roots of the quadratic equation x² +0.0211x -0.0211 = 0, use the quadratic formula. The roots are approximately 0.996 and -0.998.

Step-by-step explanation:

To find the roots of the quadratic equation x² +0.0211x -0.0211 = 0, we can use the quadratic formula. The quadratic formula is given by:

x = (-b ± √(b² - 4ac)) / (2a)

Applying the formula to the given equation, we have:

a = 1, b = 0.0211, and c = -0.0211

Substituting these values into the formula, we get:

x = (-0.0211 ± √(0.0211² - 4(1)(-0.0211))) / (2(1))

Simplifying further, we find that x ≈ 0.996 or x ≈ -0.998. Therefore, the roots of the quadratic equation are approximately 0.996 and -0.998.