Evaluate 3^-1 times (4 times 6) times 2^-3

3^-1 * (4 *6) * 2^-3

1/3 * (24) * 1/8

1/24 * 24

1

Answer : 1

1

Step-by-step explanation:

3^-1 times (4 times 6) times 2^-3 can be written as:

×

Now we can change the negative powers into positive powers by taking a reciprocal of that term to get:

  ×

=

The expression is simplified where the values in the fractions get cancelled by each other to give 1.

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0