Question

Q.3 Express each of the following expressions in the form (x+a)²+b.
(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:

Step-by-step explanation:

a² ± 2ab + b² = (a ± b)²

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(b) ... = x² - 2×3×x + 9 - 9 + 1 = (x - 3)² - 8

(c) ... = x² +2×1.5×x + 1.5² - 1.5² - 2 = (x + 1.5)² - 4.25

(d). ... = x² + 2×4.5×x + 20.25 - 20.25 - 1 = (x + 4.5)² - 21.25

(e). ... = x² + 2×(1/4)×x + 1/16 - 1/16 = (x + 1/4)² - 1/16

(f). ... = x² - 2×(1/9)×x + (1/9)² - 1/81 = (x - 1/9)² - 1/81

(g). ... = x² + 2×0.1×x + 0.1² - 0.01 = (x + 0.1)² - 0.01

(h). ... = x² - 2×0.7×x + 0.7² - 0.49 = (x - 0.7)² - 0.49