Simplify the following expression 3°?

1

Anything to the 0 power is 1

Step-by-step explanation:

1

Step-by-step explanation:

As you may already know, the number (the base) to the power (the exponent) is how many times you multiply the base. For instance:

3² = 3 * 3

3³ = 3 * 3 * 3

However, anything to the zeroth power is 1.

Why?

Well, for those above examples, take 3², you can also write it as:

3² = 1 * 3 * 3

It's just 1 times how many of that number. In 3 squared, there are twos 3's, not to be confused with 3 * 2.

In 3 to the zeroth power, there are zero 3's:

3° = 1

Now it has only the one.

This is just the way I was taught to think about it, but I'm sure there's a better explanation than mine.

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