Advertisements
Advertisements
प्रश्न
Solve the following equation: c
Advertisements
उत्तर
`2/"x"^2 - 5/"x" + 2 = 0`
2 - 5x + 2x2 = 0
2x2 - 5x+ 2= 0
`"x"^2 - 5/2 "x" + 1 = 0`
`"x"^2 - 2x - 1/2 "x" + 1 = 0`
`"x" ("x" - 2) - 1/2 ("x" - 2) = 0`
`("x" - 2)("x" - 1/2) = 0`
(x - 2) = 0 , `("x" - 1/2) = 0`
x = 2 , x = `1/2`
APPEARS IN
संबंधित प्रश्न
A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hour more, it would have taken 30 minutes less for a journey. Find the original speed of the train.
Solve the following quadratic equations by factorization:
`(x-3)/(x+3 )+(x+3)/(x-3)=2 1/2`
Solve the following equation :
`sqrt 2 "x"^2 - 3"x" - 2 sqrt 2 = 0`
Solve the following equation: `(2"x")/("x" - 4) + (2"x" - 5)/("x" - 3) = 25/3`
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.
The length of the sides forming a right angle in a triangle are 5x cm and (3x-1) cm. If the area of the triangle is 60cm2, find the hypotenuse.
Solve equation using factorisation method:
`(x - 3)/(x + 3) + (x + 3)/(x - 3) = 2 1/2`
If the product of two positive consecutive even integers is 288, find the integers.
An aeroplane flying with a wind of 30 km/hr takes 40 minutes less to fly 3600 km, than what it would have taken to fly against the same wind. Find the planes speed of flying in still air.
If α and β are roots of the quadratic equation x2 – 7x + 10 = 0, find the quadratic equation whose roots are α2 and β2.
