Advertisements
Advertisements
प्रश्न
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
Advertisements
उत्तर
Substitute x = 2 in L.H.S. of given equation
L.H.S. = (2)2 - 3x 2 x2
= 6 - 6
= 0
⇒ L.H.S. = 0
= R.H.S.
Substitute x = -1 in L.H.S. of given equation.
L.H.S. = (-1)2 - 3 x -1 + 2 = 0
= 1 + 3 + 2 ≠ 0 ≠ R.H.S.
x = 2 is a solution and x = -1 is not solution of the given equation.
संबंधित प्रश्न
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. We would like to find out the number of toys produced on that day.
Solve the following quadratic equations by factorization:
`(x+3)/(x-2)-(1-x)/x=17/4`
A fast train takes one hour less than a slow train for a journey of 200 km. If the speed of the slow train is 10 km/hr less than that of the fast train, find the speed of the two trains.
Solve each of the following equations by factorization:
`x=(3x+1)/(4x)`
Find the value of k for which the following equations have real and equal roots:
\[\left( k + 1 \right) x^2 - 2\left( k - 1 \right)x + 1 = 0\]
Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
Solve equation using factorisation method:
2x2 – 9x + 10 = 0, when:
- x ∈ N
- x ∈ Q
In each of the following, determine whether the given values are solution of the given equation or not:
`a^2x^2 - 3abx + 2b^2 = 0; x = a/b, x = b/a`.
Solve the following equation by factorization
`x + (1)/x = 2(1)/(20)`
A piece of cloth costs Rs. 300. If the piece was 5 metres longer and each metre of cloth costs Rs. 2 less, the cost of the piece would have remained unchanged. How long is the original piece of cloth and what is the rate per metre?
