CTET PAPER II 2019 · PYQ · Linear Equations / Algebra · medium
If 5(3x + 4) – 8(6x + 7) = 9x – 8, then what is the value of (x² – 2x + 1)?
- A.2/3
- B.4/9
- C.5/3
- D.25/9✓ Correct
Expand: 15x + 20 - 48x - 56 = 9x - 8. Simplify: -33x - 36 = 9x - 8. So -33x - 9x = -8 + 36, giving -42x = 28, hence x = -28/42 = -2/3. Then x² - 2x + 1 = (x-1)² = (-2/3 - 1)² = (-5/3)² = 25/9.
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