Advertisements
Advertisements
प्रश्न
In each of the following, determine whether the given values are solution of the given equation or not:
`x = 1/x = (13)/(6), x = (5)/(6), x = (4)/(3)`
Advertisements
उत्तर
`x = 1/x = (13)/(6), x = (5)/(6), x = (4)/(3)`.
`(x^2 + 1)/x = (13)/(6)`
⇒ 6x2 - 12x + 6 = 0
Now on substitute x = `(5)/(6)` in equation
L.H.S. = `6 xx (5/6)^2 - 13 xx (5)/(6) + 6`
⇒ = `(25)/(6) - (65)/(6) + 6`
⇒ = `(61)/(6) - (65)/(6) ≠ 0 ≠ "R.H.S."`
∴ x = `(5)/(6)` is not a solution of the given equation.
on substituting x = `(4)/(3)` in L.H.S. of given equation
⇒ L.H.S. = `6 xx (4/3)^2 - 13 xx (4)/(3) + 6`
= `(32)/(3) - (52)/(3) + 6`
= `(50)/(3) - (52)/(3) ≠ 0 ≠ "R.H.S."`
Hence, `(4)/(3)` is not a solution of the given equation.
संबंधित प्रश्न
Find the consecutive numbers whose squares have the sum 85.
Solve the following quadratic equations by factorization:
`(3x-2)/(2x-3)=(3x-8)/(x+4)`
Solve the following quadratic equation by factorisation.
\[6x - \frac{2}{x} = 1\]
The area of a right-angled triangle is 600 cm2. If the base of the triangle exceeds the altitude by 10 cm, find the dimensions of the triangle.
An aeroplane travelled a distance of 400 km at an average speed of x km/hr. On the return journey the speed was increased by 40 km/hr. Write down the expression for the time taken for
The outward journey
If the product of two positive consecutive even integers is 288, find the integers.
In a P.T. display, 480 students are arranged in rows and columns. If there are 4 more students in each row than the number of rows, find the number of students in each row.
Two pipes running together can fill a tank in `11(1)/(9)` minutes. If one pipe takes 5 minutes more than the other to fill the tank, find the time in which each pipe would/fill the tank.
A person was given Rs. 3000 for a tour. If he extends his tour programme by 5 days, he must cut down his daily expenses by Rs. 20. Find the number of days of his tour programme.
If twice the area of a smaller square is subtracted from the area of a larger square, the result is 14 cm2. However, if twice the area of the larger square is added to three times the area of the smaller square, the result is 203 cm2. Determine the sides of the two squares.
