Question

Solve the quadratic equation for x. What is the product when the roots are multiplied? (x + 2)2 = 1

Answer 1

Regroup terms

2(x + 2) = 1

Divided both sides by 2

x + 2 = 1/2

Subtract 2 from both sides

x = 1/2 - 2

Simplify 1/2 - 2 to -3/2

x = -3/2

Answer 2

x = -2 or 0; Product of roots = 0.

Explanation:

Product of roots:

(x + 1)² = 1

x² + 2x + 1 = 1

x² +2x = 0

The standard form of a quadratic is a² + bx + c = 0.

In your equation, a = 1; b = 2; c = 0

Even without solving the equation, we know that the product of the roots is zero, because

Product of roots = c/a =0/1 = 0

Solution:

Factor the quadratic x(x +2) = 0

Use zero product property x = 0 x + 2 = 0

x = -2

The roots are x = 0 and x = -2.