Advertisements
Advertisements
प्रश्न
The sum of a number and its reciprocal is `2 9/40`. Find the number.
Advertisements
उत्तर
Let the number be A. Then as per the question,
`"A" + 1/ "A" = 2 9/40`
⇒ `"A"^2 + 1 - 89/40 "A" = 0`
⇒ 40 A2 + 40 - 89 A=0
⇒ 40A2 - 89A + 40 = 0
⇒ 40 A2 - 64A - 25A + 40 = 0
⇒ 8A (5A - 8) - 5 (5A-8) = 0
⇒ (8A - 5)(5A - 8) = 0
⇒ A = `5/8 , 8/5`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
6x2 + 11x + 3 = 0
An aeroplane take 1 hour less for a journey of 1200 km if its speed is increased by 100 km/hr from its usual speed. Find its usual speed.
One of the roots of equation 5m2 + 2m + k = 0 is `(-7)/5` Complete the following activity to find the value of 'k'.
If the roots of the equations \[\left( a^2 + b^2 \right) x^2 - 2b\left( a + c \right)x + \left( b^2 + c^2 \right) = 0\] are equal, then
If sin α and cos α are the roots of the equations ax2 + bx + c = 0, then b2 =
If one root the equation 2x2 + kx + 4 = 0 is 2, then the other root is
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.
6x2 - x - 2 = 0; x = `-(1)/(2), x = (2)/(3)`
Solve the following equation by factorization
`(1)/(7)(3x – 5)^2`= 28
If the sum of the roots of the quadratic equation ky2 – 11y + (k – 23) = 0 is `13/21` more than the product of the roots, then find the value of k.
