Which is closer to one, 7/8 or 8/7? Explain without converting to decimals or using common denominators.

9514 1404 393

  7/8

Step-by-step explanation:

7/8 differs from 1 = 8/8 by 1/8.

8/7 differs from 1 = 7/7 by 1/7.

1/8 is smaller than 1/7, so 7/8 is closer to 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

differentiate (x^14(x^-2)^4with respect to the variable

the parentheses don't balance in your input.

differentiate 0 with respect to

the final answer is

0

hope this