Complete the factorization of 3x2 – 10x + 8. 3x2 – 10x + 8 = (x – )( x – 4)

Find the roots of the equation below. x^2 - 6 + 9 = 0

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Which of these tools or constructions is used to inscribe a hexagon inside a circle?