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Question 1

1.1. Solve for x.

Quest 1.1.1.

Solution


Quest 1.1.2.
5x(x - 3)= 2

Solution


Quest 1.1.3.
x2 - 2x > 3

Solution
x2 - 2x > 3
x2 - 2x - 3 > 0
(x - 3)(x + 1) > 0

x < -1 or x > 3


Quest 1.2.
x - 3y =1
x2 - 2xy + 9y2 = 17

Solution


Quest 1.3.
Calculate the value of:

Solution
Let 1234567893 = n
Then

= n(n+1)-(n+2)(n-1)
= n2 + n - n2 - n + 2
= 2