Question

The equation formed by decreasing each root of

ax² + bx + c = 0 by 1 is 2x² + 8x + 2 = 0, then-

• A. a = –b
• B. b = – c
• C. c = – a
• D. None of these

Answer 1

Answer: (B)

b = – c

Answer 2

Replace x by x –1 in eq. 2x² + 8x + 2 = 0 then it represent the same equ. as ax² + bx + c = 0

hence \$\frac{a}{1}$ = $\frac{b}{2}$ = $\frac{c}{- 2}$

Ž b = 2a, b = –c, c = –2a.