Advertisements
Advertisements
Question
Solve the following equation: a2b2x2 + b2x - a2x - 1 = 0
Solution
a2b2x2 + b2x - a2x - 1 = 0
b2 x(a2 x + 1)- 1(a2 x + 1) = 0
(a2 x + 1)(b2 x- 1) = 0
x = `-1/"a"^2` , x = `1/"b"^2`
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
3x2 − 14x − 5 = 0
Find the two consecutive natural numbers whose product is 20.
The difference of squares of two number is 88. If the larger number is 5 less than twice the smaller number, then find the two numbers.
Divide 57 into two parts whose product is 680.
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
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.
The length of the sides forming a right angle in a triangle are 5x cm and (3x-1) cm. If the area of the triangle is 60cm2, find the hypotenuse.
Solve equation using factorisation method:
2(x2 – 6) = 3(x – 4)
The perimeter of a rectangular plot is 180 m and its area is 1800 m2. Take the length of the plot as x m. Use the perimeter 180 m to write the value of the breadth in terms of x. Use the values of length, breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.
The age of a man is twice the square of the age of his son. Eight years hence, the age of the man will be 4 years more than three times the age of his son. Find the present age.
