Solve for x 34 x 5 lessthanorequalto 3x 1 3x 5 lessthanor

Solve for x 3/4 x - 5 lessthanorequalto 3(x - 1) |3x - 5| lessthanorequalto 16 |3x - 15| = 16 |3x - 5| > 16 Solve 2x^2 + 4x - 10 = 0 by completing the square and the Quadratic formula x^2 - 6x + 7 = 0 by Quadratic formula and factoring 3x^2 = 17x + 6 by Factoring a/b - b/a/1/a + 1/b Solve one (A or B) (i) x - 7 = Squareroot x - 5 (ii) 15/x - 15/x + 2 = 2

Solution

5.

2x^2 + 4x - 10 = 0

divide by 2

x^2 + 2x - 5 = 0

x^2 + 2*1*x + 1 - 1 - 5 = 0

(x + 1)^2 - 6 = 0

x + 1 = +/- sqrt 6

x = -1 + sqrt 6 OR x = -1 - sqrt 6

6.

x^2 - 6x + 7 = 0

x = [-(-6) +/- sqrt (36 - 4*7)]/2

x = [6 +/- 2*sqrt 2]/2

x = 3 + sqrt 2 OR x = 3 - sqrt 2

7.

3x^2 - 17x - 6 = 0

3x^2 - 18x + x - 6 = 0

(3x + 1)*(x - 6) = 0

x = -1/3 OR x = 6

8.

(a/b - b/a)/(1/a + 1/b)

((a^2 - b^2)/ab)/((a+b)/ab)

= (a^2 - b^2)/(a + b)

= (a - b)*(a + b)/(a + b)

= (a - b)