Advertisements
Advertisements
Question
If (x + a)(x + b)(x + c) = x3 + 14x2 + 59x + 70, find the value of `1/"a" + 1/"b" + 1/"c"`
Solution
(x + a)(x + b)(x + c) = x3 + 14x2 + 59x + 70
x3 + (a + b + c)x2 + (ab + bc + ac)x + abc = x3 + 14x2 + 59x + 70
a + b + c = 14, ab + bc + ac = 59, abc = 70
`1/"a" + 1/"b" + 1/"c" = ("bc" + "ac" + "ab")/"abc"`
= `59/70`
APPEARS IN
RELATED QUESTIONS
If (x + a)(x + b)(x + c) = x3 + 14x2 + 59x + 70, find the value of a + b + c
If (x + a)(x + b)(x + c) = x3 + 14x2 + 59x + 70, find the value of a2 + b2 + c2
If (x + a)(x + b)(x + c) = x3 + 14x2 + 59x + 70, find the value of `"a"/"bc" + "b"/"ac" + "c"/"ab"`
Simplify (p – 2)(p + 1)(p – 4)
Find the volume of the cuboid whose dimensions are (x + 2), (x – 1) and (x – 3)
If x2 – y2 = 16 and (x + y) = 8 then (x – y) is ___________
Factorise the following expressions
c2 – 4c – 12
The factors of x2 – 5x + 6 are (x – 2)(x – p) then the value of p is ______.
