8. Separate 84 into two parts such that one part will be 12 less than twice
the other.

x + (2x-12) = 84

x = 32

Step-by-step explanation:

you can say (part 1) + (part 2) = 84

one part is x (a variable) and

other part is 12 less than twice the other: when it says "12 less" is " - 12" and twice of part one 2x, you can say (2x - 12)

(part 1) + (part 2) = 84

x + (2x-12) = 84

3x - 12 = 84

3x = 96

x = 32

(part 1) + (part 2) = 84

(32) + (2*32 - 12) = 84

(32) + (52) = 84

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

10

step-by-step explanation: