Advertisements
Advertisements
प्रश्न
`1/(x-2)+2/(x-1)=6/x,≠0,1,2`
उत्तर
`1/(x-2)+2/(x-1)=6/x`
⇒`((x-1)+2(x-2))/((x-1)(x-2))=6/x`
⇒ `(3x-5)/(x^2-3x+2)=6/x`
⇒`3x^2-5x=6x^2-18x+12` [On cross multiplying]
⇒`3x^2-13+12=0`
⇒`3x^2-(9+4)x+12=0`
⇒`3x^2-9x-4x+12=0`
⇒`3x(x-3)-4(x-3)=0`
⇒`(3x-4)(x-3)=0`
⇒`3x-4=0 or x-3=0`
⇒`x=4/3 or x=3`
APPEARS IN
संबंधित प्रश्न
Sum of two natural numbers is 8 and the difference of their reciprocal is `2/15`. Find the numbers.
Check whether the following is quadratic equation or not.
`sqrt(3x^2)-2x+1/2=0`
Check whether the following is quadratic equation or not.
(x + 2)3 = x3 − 4
Solve `x + 4/x = -4; x != 0`
Solve the following equation using the formula:
`4/x - 3 = 5/(2x + 3)`
`9x^2+6x+1=0`
If one root of the quadratic equation 6x2 – x – k = 0 is
Solve, using formula:
x2 + x – (a + 2)(a + 1) = 0
Find the value of a, b, c in the following quadratic equation: 2x2 + 18 = 6x
Which of the following is not a quadratic equation?
