Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
x2 – (a + b)x + ab = 0
Advertisements
उत्तर
x2 – (a + b)x + ab = 0
⇒ x2 – ax – bx + ab = 0
⇒ x(x – a) – b(x – a) = 0
⇒ (x – a)(x – b) = 0
Since x – a = 0 or x – b = 0
Then x = a or x = b
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`(2x)/(x-4)+(2x-5)/(x-3)=25/3`
Find the consecutive numbers whose squares have the sum 85.
The sum of the squares of two numbers as 233 and one of the numbers as 3 less than twice the other number find the numbers.
The sum of the squares two consecutive multiples of 7 is 1225. Find the multiples.
If \[x = - \frac{1}{2}\],is a solution of the quadratic equation \[3 x^2 + 2kx - 3 = 0\] ,find the value of k.
Solve the following equation : `"x"^2 - 4 sqrt 2 "x" + 6 = 0 `
Solve equation using factorisation method:
x(x – 5) = 24
Solve the following equation by factorization
`(x + 2)/(x + 3) = (2x - 3)/(3x - 7)`
Two years ago, a man’s age was three times the square of his daughter’s age. Three years hence, his age will be four times his daughter’s age. Find their present ages.
The length of a rectangular garden is 12 m more than its breadth. The numerical value of its area is equal to 4 times the numerical value of its perimeter. Find the dimensions of the garden.
