Advertisements
Advertisements
प्रश्न
Solve for x :
`1/(x + 1) + 3/(5x + 1) = 5/(x + 4), x != -1, -1/5, -4`
Advertisements
उत्तर
`1/(x + 1) + 3/(5x + 1) = 5/(x + 4), x != -1, -1/5, -4`
`=> (5x + 1+3x + 3)/((x + 1)(5x + 1)) = 5/(x+4)`
⇒(8x + 4)(x + 4) =5(x + 1)(5x + 1)
⇒8x2 + 32x + 4x + 16 = 5(5x2 +x + 5x +1)
⇒8x2 +36x +16 =25x2 +30x +5
⇒17x2 −6x −11 =0
⇒17x2 − 17x + 11x − 11 = 0
⇒17x(x − 1) + 11(x − 1) = 0
⇒(17x + 11)(x − 1) = 0
⇒17x + 11 = 0 or x − 1 = 0
`=> x = (-11)/17 or x = 1`
APPEARS IN
संबंधित प्रश्न
Find the roots of the following quadratic equation by factorisation:
`2x^2 – x + 1/8 = 0`
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
Solve the following quadratic equations by factorization:
`x^2-4sqrt2x+6=0`
Find the tow consecutive positive odd integer whose product s 483.
Solve the following equation: 2x2 - 3x - 9=0
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
A two digit number is such that the product of the digit is 12. When 36 is added to the number, the digits interchange their places. Find the numbers.
If the product of two consecutive even integers is 224, find the integers.
Which of the following are the roots of the quadratic equation, x2 – 9x + 20 = 0 by factorisation?
If the sum of the roots of the quadratic equation ky2 – 11y + (k – 23) = 0 is `13/21` more than the product of the roots, then find the value of k.
