Advertisements
Advertisements
प्रश्न
`3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11,x≠3/5,-1/7`
उत्तर
`3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11,x≠3/5,-1/7`
⇒`(3(7x+1)^2-4(5x-3)^2)/((5x-3)(7x+1))=11`
⇒`(3(7x+1)^2-4(5x-3)^2)/((5x-3)(7x+1))=11`
⇒`(3(49x^2+14x+1)-4(25x^3-30x+9))/(35x^3-16-3)=11`
⇒`(147x^2+42x+3-100x^2+120x-36)/(35x^2-16x-3)=11`
⇒`(47x^2+162x-33)/(35x^2-16x-3)=11`
⇒`47x^2+162x-33=385x^2-176x-33`
⇒`338x^2-338x=0`
⇒`338x(x-1)=0`
⇒`x=0 or x-1=0`
⇒ `x=0 or x=1`
Hence, 0 and 1 are the roots of the given equation.
APPEARS IN
संबंधित प्रश्न
(x + 3)² – 4(x + 3) – 5 = 0
`5x^2+13x+8=0`
`3^((x+2))+3^(-x)=10`
A scholarship account of Rs 75,000 was distributed equally among a certain number of students. Had there been 10 students more, each would have got Rs 250 less. Find the original number of persons.
Solve the following equation by reducing it to quadratic equation:
`sqrt(3x^2 - 2) + 1 = 2x`.
Solve the following equation by using formula :
(2x + 3)(3x – 2) + 2 = 0
Choose the correct answer from the given four options :
If `(1)/(2)` is a root of the quadratic equation 4x2 – 4kx + k + 5 = 0, then the value of k is
If the sum of the roots of a quadratic equation is 5 and the product of the roots is also 5, then the equation is:
A train travels a distance of 90 km at a constant speed. Had the speed been 15 km/h more, it would have taken 30 minutes less for the journey. Find the original speed of the train.
If 3x2 – kx – 15 = (3x – 5)(x + 3), the value of k is ______.
