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 equation for x:
`x^2+(a/(a+b)+(a+b)/a)x+1=0`
Rs. 9000 were divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs. 160 less. Find the original number of persons.
Solve:
x(x + 1) + (x + 2)(x + 3) = 42
Solve each of the following equations by factorization:
x(x – 5) = 24
Solve each of the following equations by factorization:
`9/2x=5+x^2`
If sin α and cos α are the roots of the equations ax2 + bx + c = 0, then b2 =
Solve the following equation: a2x2 - 3abx + 2b2 = 0
Five years ago, a woman’s age was the square of her son’s age. Ten years hence, her age will be twice that of her son’s age. Find:
- the age of the son five years ago.
- the present age of the woman.
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 hypotenuse of a right-angled triangle is 1 m less than twice the shortest side. If the third side is 1 m more than the shortest side, find the sides of the triangle.
