# If the roots of a quadratic equation are 1 ± √5, then what is the product of the roots?

Quadratic equations are those that have the highest degree equal to two. They have many applications in various fields.

## Answer: If the roots of a quadratic equation are 1 ± √5, then the product of the roots is -4.

Let's understand in detail.

**Explanation:**

We are given that the roots of the quadratic equation are 1 ± √5

We can also write that the two roots of the quadratic equation as (1 + √5) and (1 − √5)

Now, if we multiply them, we get the product of the roots.

Hence, (1 + √5) (1 − √5) = 1^{2 }− (√5)^{2} [we used the formula of a^{2} − b^{2} = (a − b) (a + b)]

= 1 − 5

= -4