Advertisements
Advertisements
प्रश्न
Solve the following equation: `x^2 + (a + 1/a)x + 1 = 0`
Advertisements
उत्तर
`x^2 + (a + 1/a)x + 1 = 0`
`x^2 + ax + 1/a x + 1 = 0`
`x (x + a) + 1/a (x + a) = 0`
`(x + a)(x + 1/a) = 0`
x = -a , x = `- 1/a`
APPEARS IN
संबंधित प्रश्न
The product of two successive integral multiples of 5 is 300. Determine the multiples.
Let us find two natural numbers which differ by 3 and whose squares have the sum 117.
Solve the following quadratic equation by factorisation.
x2 – 15x + 54 = 0
Solve the following equation: `"x"^2 - ( sqrt 2 + 1) "x" + sqrt 2 = 0 `
Solve the following equation: abx2 +(b2-ac) x - bc = 0
Let ∆ ABC ∽ ∆ DEF and their areas be respectively, 64 cm2 and 121 cm2. If EF = 15⋅4 cm, find BC.
The length of verandah is 3m more than its breadth. The numerical value of its area is equal to the numerical value of its perimeter.
(i) Taking x, breadth of the verandah write an equation in ‘x’ that represents the above statement.
(ii) Solve the equation obtained in above and hence find the dimension of verandah.
By increasing the speed of a car by 10 km/hr, the time of journey for a distance of 72 km. is reduced by 36 minutes. Find the original speed of the car.
Find the values of x if p + 7 = 0, q – 12 = 0 and x2 + px + q = 0,
Rs. 7500 is divided equally among a certain number of children. Had there been 20 less children, each would have receive Rs 100 more. Find the original number of children.
