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 equation by factorization method: 9x2-25 = 0
Find x in terms of a, b and c: `a/(x-a)+b/(x-b)=(2c)/(x-c)`
Solve the equation:`14/(x+3)-1=5/(x+1); xne-3,-1` , for x
The difference of two natural numbers is 5 and the difference of heir reciprocals is `5/14`Find the numbers
If p and q are the roots of the equation x2 – px + q = 0, then ______.
If the sum of the roots of the equation \[x^2 - \left( k + 6 \right)x + 2\left( 2k - 1 \right) = 0\] is equal to half of their product, then k =
A two digit number is 4 times the sum of its digit and twice the product of its digit. Find the number.
Solve the following by reducing them to quadratic equations:
`((7y - 1)/y)^2 - 3 ((7y - 1)/y) - 18 = 0, y ≠ 0`
Find two consecutive even natural numbers such that the sum of their squares is 340.
The length of a rectangle exceeds its breadth by 5 m. If the breadth were doubled and the length reduced by 9 m, the area of the rectangle would have increased by 140 m². Find its dimensions.
