Question

The roots of the equation (x+1)(x+8) +10 = 0 are given as p and q. Find the roots of (x+p)(x+q)-4=0

• A. -1, 3
• B. 7, 8
• C. 2,7
• D. –2, 7
• E. –2, 3

Answer 1

The correct option is C 2,7

Option c

(x+1)(x+8)+10 can be expanded as x²+9x+8+10=0 x²+9x+18=0

Sum of roots p+q= -9

Product of roots pq = 18

(x+p)(x+q)-4=0 can be written as x²+ (p+q)x+pq-4=0 x²-9x+18-4=0

x²-9x+14=0

Roots are 7 and 2