Question

Express each of the following expressions in the form(x+a)²+b. (a) x²+12x (b) x²-6x+1 (c) x²+3x-2 (d) x²+9x-1 (e) x²+1/2x (f) x²-2/9x (g)x²+ 0.2x (h) x²-1.4x

Answer 1

Answer:

(a) x²+12x (b) x²-6x+1 (c) x²+ 3x-2 (d) x²+9x-1 (e) x²+1/2x (f) x²-2/9x (g)x²+ 0.2x (h) x²-1.4x.

Answer 2

(a) x²+12x answer is (x+6)²-36

(b) x²-6x+1 answer is (x-3)²-8

(c) x²+3x-2 answer is (x+3/2)²-17/4

(d) x²+9x-1 answer is (x+3)²-10

(e) x²+1/2x answer is (x+1/4)²-1/16

(f) x²-2/9x answer is (x-1/9)²-1/81

(g)x²+ 0.2x answer is (x+1/10)²-1/100

(h) x²-1.4x answer is (x-7/4)²-49/4