Advertisements
Advertisements
Question
Solve the following equation: `x^2 + (a + 1/a)x + 1 = 0`
Advertisements
Solution
`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
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
`1/((x-1)(x-2))+1/((x-2)(x-3))+1/((x-3)(x-4))=1/6`
Solve the following quadratic equation by factorization:
`(x-5)(x-6)=25/(24)^2`
Two number differ by 4 and their product is 192. Find the numbers?
The hypotenuse of a right triangle is `3sqrt10`. If the smaller leg is tripled and the longer leg doubled, new hypotenuse wll be `9sqrt5`. How long are the legs of the triangle?
The speed of an express train is x km/hr arid the speed of an ordinary train is 12 km/hr less than that of the express train. If the ordinary train takes one hour longer than the express train to cover a distance of 240 km, find the speed of the express train.
In each of the following determine whether the given values are solutions of the equation or not.
9x2 - 3x - 2 = 0; x = `-(1)/(3), x = (2)/(3)`
In each of the following, determine whether the given values are solution of the given equation or not:
x2 - 3x + 2 = 0; x = 2, x = -1
In each of the following, determine whether the given values are solution of the given equation or not:
x2 - 3`sqrt(3)` + 6 = 0; x = `sqrt(3)`, x = -2`sqrt(3)`
Solve the following equation by factorization
5x2 – 8x – 4 = 0 when x∈Q
If the product of two positive consecutive even integers is 288, find the integers.
