Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
`6/x = 1 + x`
Advertisements
उत्तर
`6/x = 1 + x`
⇒ 6 = x + x2
⇒ x2 + x – 6 = 0
⇒ x2 + 3x – 2x – 6 = 0
⇒ x(x + 3) –2(x + 3) = 0
⇒ (x + 3)(x – 2) = 0
Since x + 3 = 0 or x – 2 = 0
Then x = –3 or x = 2
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation for x:
`x^2+(a/(a+b)+(a+b)/a)x+1=0`
A two digits number is such that the product of the digits is 12. When 36 is added to the number, the digits inter change their places determine the number.
Solve of the following equations, giving answer up to two decimal places.
3x2 – x – 7 =0
Solve the following quadratic equations by factorization:
`(x-3)/(x+3 )+(x+3)/(x-3)=2 1/2`
Find k if x = 3 is a root of equation kx2 – 10x + 3 = 0.
Solve the following equation: `"x"^2 - ( sqrt 2 + 1) "x" + sqrt 2 = 0 `
Solve the following equation: `(2"x")/("x" - 4) + (2"x" - 5)/("x" - 3) = 25/3`
The perimeter of the right angled triangle is 60cm. Its hypotenuse is 25cm. Find the area of the triangle.
Solve the following equation by factorization
`a/(ax - 1) + b/(bx - 1) = a + b, a + b ≠ 0, ab ≠ 0`
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.
