Advertisements
Advertisements
Question
Solve the following equation: abx2 +(b2-ac) x - bc = 0
Advertisements
Solution
abx2 +(b2-ac) x - bc = 0
abx2 +b2x - acx - bc = o
bx (ax+ b) - c(ax+ b) = o
(ax+b) (bx-c) = o
x = `- "b"/"a"` , x = `"c"/"b"`
APPEARS IN
RELATED QUESTIONS
Solve for x : 12abx2 – (9a2 – 8b2 ) x – 6ab = 0
The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.
Let us find two natural numbers which differ by 3 and whose squares have the sum 117.
A takes 10 days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days, find the time taken by B to finish the work.
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also, find the solution of the equation:
(m – 3)x2 – 4x + 1 = 0
Solve each of the following equations by factorization :
`6/x=1+x`
Solve the following equation: `("x" + 3)/("x" - 2) - (1 - "x")/"x" = 17/4`
A two digit number is such that the product of the digit is 12. When 36 is added to the number, the digits interchange their places. Find the numbers.
A farmer wishes to grow a 100m2 rectangular vegetable garden. Since he was with him only 30m barbed wire, he fences 3 sides of the rectangular garden letting the compound of his house to act as the 4th side. Find the dimensions of his garden .
If 'p' is a root of the quadratic equation x2 – (p + q) x + k = 0, then the value of 'k' is ______.
