Advertisements
Advertisements
प्रश्न
Find the roots of the following quadratic equation by the factorisation method:
`2x^2 + 5/3x - 2 = 0`
उत्तर
Given equation is `2x^2 + 5/3x - 2` = 0
On multiplying by 3 on both sides, we get
6x2 + 5x – 6 = 0
⇒ 6x2 + (9x – 4x) – 6 = 0 ....[By splitting the middle term]
⇒ 6x2 + 9x – 4x – 6 = 0
⇒ 3x(2x + 3) – 2(2x + 3) = 0
⇒ (2x + 3)(3x – 2) = 0
Now, 2x + 3 = 0
⇒ x = `-3/2`
And 3x – 2 = 0
⇒ x = `2/3`
Hence, the roots of the equation 6x2 + 5x – 6 = 0 are `(-3)/2` and `2/3`.
APPEARS IN
संबंधित प्रश्न
The numerator of a fraction is 3 less than its denominator. If 2 is added to both the numerator and the denominator, then the sum of the new fraction and original fraction is `29/20`. Find the original fraction.
Solve the following quadratic equation for x:
`4sqrt3x^3+5x-2sqrt3=0`
Solve the following equation: (x-8)(x+6) = 0
Solve the equation using the factorisation method:
`(3x -2)/(2x -3) = (3x - 8)/(x + 4)`
An aeroplane travelled a distance of 400 km at an average speed of x km/hr. On the return journey the speed was increased by 40 km/hr. Write down the expression for the time taken for
The outward journey
Solve (x2 + 3x)2 - (x2 + 3x) -6 = 0.
Solve the following equation by factorization
6p2+ 11p – 10 = 0
The product of two successive integral multiples of 5 is 300. Then the numbers are:
A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.
If x = 3 is one root of the quadratic equation 2x2 + px + 30 = 0, find the value of p and the other root of the quadratic equation.
