Advertisements
Advertisements
प्रश्न
In each of the following, determine whether the given values are solution of the given equation or not:
`x^2 - sqrt(2) - 4 = 0; x = -sqrt(2), x = -2sqrt(2)`
Advertisements
उत्तर
`x^2 - sqrt(2) - 4 = 0; x = -sqrt(2), x = -2sqrt(2)`
Now x = `-sqrt(2)`
⇒ L.H.S. = `(-sqrt(2))^2 - sqrt(2) xx (-sqrt(2)) - 4 = 0`
= 2 + 2 - 4
= 0
= R.H.S.
∴ x = `-sqrt(2)` is a solution of the given equation.
Now x = `-2sqrt(2)`
⇒ L.H.S. = `(-2sqrt(2))^2 - sqrt(2)(-2sqrt(2)) - 4 = 0`
= 8 + 4 - 4 ≠ 0 ≠ R.H.S.
∴ x = `-2sqrt(2)` is not a solution of the equation.
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`3x^2-2sqrt6x+2=0`
A dealer sells an article for Rs. 24 and gains as much percent as the cost price of the article. Find the cost price of the article.
Solve for x: `3x^2-2sqrt3x+2=0`
The distance between Akola and Bhusawal is 168 km. An express train takes 1 hour less than a passenger train to cover the distance. Find the average speed of each train if the average speed of the express train is more by 14 km/hr than the speed of the passenger train.
Solve the following quadratic equations by factorization:
\[16x - \frac{10}{x} = 27\]
Solve the following equation : x2 + 2ab = (2a + b)x
Solve the following quadratic equation by factorisation:
x2 - 3x - 10 = 0
Solve the following equation by factorization
`(x + 1)/(x - 1) + (x - 2)/(x + 2)` = 3
If the product of two positive consecutive even integers is 288, find the integers.
The length of a rectangular garden is 12 m more than its breadth. The numerical value of its area is equal to 4 times the numerical value of its perimeter. Find the dimensions of the garden.
