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:
`(1 + 1/(x + 1))(1 - 1/(x - 1)) = 7/8`
Solve the following equation: 25x (x + 1) = -4
Solve the following quadratic equation using formula method only
x2 - 7x - 5 = 0
Solve the equation 3x² – x – 7 = 0 and give your answer correct to two decimal places.
In each of the following, determine whether the given values are solution of the given equation or not:
2x2 - x + 9 = x2 + 4x + 3; x = 2, x = 3
Solve the following equation by factorization
x (2x + 1) = 6
At an annual function of a school, each student gives the gift to every other student. If the number of gifts is 1980, find the number of students.
An aeroplane flying with a wind of 30 km/hr takes 40 minutes less to fly 3600 km, than what it would have taken to fly against the same wind. Find the planes speed of flying in still air.
The length (in cm) of the hypotenuse of a right-angled triangle exceeds the length of one side by 2 cm and exceeds twice the length of another side by 1 cm. Find the length of each side. Also, find the perimeter and the area of the triangle.
Complete the following activity to solve the given quadratic equation by factorization method.
Activity: x2 + 8x – 20 = 0
x2 + ( __ ) – 2x – 20 = 0
x (x + 10) – ( __ ) (x + 10) = 0
(x + 10) ( ____ ) = 0
x = ___ or x = 2
