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 equation by factorization method : `3x^2-29x+40=0`
Solve the following quadratic equations by factorization:
`2(x^2 – 6) = 3 ( x – 4)`
If one root of the equation 4x2 − 2x + (λ − 4) = 0 be the reciprocal of the other, then λ =
The product of a girl's age five years ago and her age 3 years later is 105. Find her present age.
The area of the isosceles triangle is 60 cm2, and the length of each one of its equal side is 13cm. Find its base.
Solve the following equation by factorization
x(6x – 1) = 35
Find two consecutive even natural numbers such that the sum of their squares is 340.
The difference between the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.
A two digit number contains the bigger at ten’s place. The product of the digits is 27 and the difference between two digits is 6. Find the number.
A rectangle of area 105 cm² has its length equal to x cm. Write down its breadth in terms of x. Given that the perimeter is 44 cm, write down an equation in x and solve it to determine the dimensions of the rectangle.
