MATH SOLVE

5 months ago

Q:
# Let x = a and x = b be distinct solutions to the equation shown below. What is the exact value of a ⋅ b?2(x + 4)^2 = 6

Accepted Solution

A:

We have the following expression:

2 (x + 4) ^ 2 = 6

Let's clear the value of x:

x + 4 = +/- root (6/2)

x + 4 = +/- root (3)

x = +/- root (3) - 4

The solutions are:

a = root (3) - 4

b = -raiz (3) - 4

Multiplying both solutions we have:

a.b = (root (3) - 4) * (- root (3) - 4)

a.b = -9 -4raiz (3) + 4raiz (3) + 16

a.b = -9 + 16

a.b = 7

Answer:

the exact value of a ⋅ b is 7

2 (x + 4) ^ 2 = 6

Let's clear the value of x:

x + 4 = +/- root (6/2)

x + 4 = +/- root (3)

x = +/- root (3) - 4

The solutions are:

a = root (3) - 4

b = -raiz (3) - 4

Multiplying both solutions we have:

a.b = (root (3) - 4) * (- root (3) - 4)

a.b = -9 -4raiz (3) + 4raiz (3) + 16

a.b = -9 + 16

a.b = 7

Answer:

the exact value of a ⋅ b is 7