Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
`(1 + 1/(x + 1))(1 - 1/(x - 1)) = 7/8`
Advertisements
उत्तर
`(1+1/(x+1))(1-1/(x-1))=7/8`
⇒ ` ((x + 1 + 1)/(x + 1))((x - 1 - 1)/(x - 1)) = 7/8`
⇒ `((x + 2)/(x + 1))((x - 2)/(x - 1)) = 7/8`
⇒ `(x^2 - 4)/(x^2 - 1) = 7/8`
⇒ 8x2 – 32 = 7x2 – 7
⇒ x2 = 25
⇒ x = ±5
संबंधित प्रश्न
The speed of a boat in still water is 8 km/hr. It can go 15 km upstream and 22 km downstream in 5 hours. Find the speed of the stream.
If the equation x2 + 4x + k = 0 has real and distinct roots, then
If the equation 9x2 + 6kx + 4 = 0 has equal roots, then the roots are both equal to
If the sum of the roots of the equation x2 − x = λ(2x − 1) is zero, then λ =
Solve the following quadratic equation using formula method only
x2 - 6x + 4 = 0
The hypotenuse of a right-angled triangle is 17cm. If the smaller side is multiplied by 5 and the larger side is doubled, the new hypotenuse will be 50 cm. Find the length of each side of the triangle.
Solve the following equation by factorization
21x2 – 8x – 4 = 0
Solve the following equation by factorization
5x2 – 8x – 4 = 0 when x∈Q
The speed of a boat in still water is 11 km/ hr. It can go 12 km up-stream and return downstream to the original point in 2 hours 45 minutes. Find the speed of the stream
Find the roots of the following quadratic equation by the factorisation method:
`21x^2 - 2x + 1/21 = 0`
