Question

Supply the number so that the quadratic equation below has 6 and 8 as its solutions. x^ 2 -14x+ Box=0

Answer 1

[AI-generated answer — Explain Bot]

To find the number that should be placed in the "Box" to make the given quadratic equation have 6 and 8 as its solutions, we can use the fact that when a quadratic equation has roots x1 and x2, it can be represented in the factored form as (x - x1)(x - x2) = 0.

Given that the solutions are 6 and 8, we can write the factored form of the quadratic equation as (x - 6)(x - 8) = 0.

Expanding this expression, we will have:

x^2 - 6x - 8x + 48 = 0

Simplifying the equation, we get:

x^2 - 14x + 48 = 0

So, the number that should replace "Box" is 48.