Advertisements
Advertisements
प्रश्न
Solve the following equation : `"x"^2 - 4 sqrt 2 "x" + 6 = 0 `
Advertisements
उत्तर
`"x"^2 - 4 sqrt 2 "x" + 6 = 0 `
`"x"^2 - sqrt 2 "x" - 3 sqrt 2 "x" + 6 = 0 `
`"x"("x" - sqrt 2) - 3 sqrt 2 ("x" - sqrt 2) = 0`
`("x" - sqrt 2)("x" - 3 sqrt 2) = 0`
`("x" - sqrt 2) = 0 , ("x" - 3 sqrt 2) = 0`
x = `sqrt 2` , x = `3 sqrt 2`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`x^2-(sqrt3+1)x+sqrt3=0`
If two pipes function simultaneously, a reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours will the second pipe take to fill the reservoir?
Solve the following quadratic equation by factorisation.
25m2 = 9
The hypotenuse of a grassy land in the shape of a right triangle is 1 m more than twice the shortest side. If the third side is 7m more than the shortest side, find the sides of the grassy land.
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 .
Solve the following equation by factorization
x (2x + 1) = 6
Solve the following equation by factorization
21x2 – 8x – 4 = 0
The lengths of the parallel sides of a trapezium are (x + 9) cm and (2x – 3) cm and the distance between them is (x + 4) cm. If its area is 540 cm2, find x.
A boat can cover 10 km up the stream and 5 km down the stream in 6 hours. If the speed of the stream is 1.5 km/hr. find the speed of the boat in still water.
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.
