Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
`x + 1/x = 2.5`
Advertisements
उत्तर
`x + 1/x = 2.5`
⇒ `(x^2 + 1)/x = 5/2`
⇒ 2x2 + 2 = 5x
⇒ 2x2 – 5x + 2 = 0
⇒ 2x(x – 2) – 1(x – 2) = 0
⇒ (x – 2)(2x – 1) = 0
Since x – 2 = 0 or 2x – 1 = 0
∴ x – 2 = 0
⇒ x = 2
∴ 2x – 1 = 0
⇒ 2x = 1
⇒ x = `1/2`
Then x = 2 or x = `1/2`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by factorization method : `3x^2-29x+40=0`
Solve for x :
`1/(x + 1) + 3/(5x + 1) = 5/(x + 4), x != -1, -1/5, -4`
Let us find two natural numbers which differ by 3 and whose squares have the sum 117.
Rs. 9000 were divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs. 160 less. Find the original number of persons.
Solve the following quadratic equations by factorization:
`(x-3)/(x+3 )+(x+3)/(x-3)=2 1/2`
Solve the following equation and give your answer up to two decimal places:
x2 − 5x − 10 = 0
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
3(y2 – 6) = y(y + 7) – 3
A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 square metres, assuming the width of the walk to be x, form an equation in x and solve it to find the value of x.
Using quadratic formula find the value of x.
p2x2 + (p2 – q2)x – q2 = 0
