Advertisements
Advertisements
Question
In each of the following, determine whether the given values are solution of the given equation or not:
x2 - 3`sqrt(3)` + 6 = 0; x = `sqrt(3)`, x = -2`sqrt(3)`
Advertisements
Solution
x2 - 3`sqrt(3)` + 6; x = `sqrt(3)`, x = -2`sqrt(3)`.
Now substitute x = `sqrt(3)` in L.H.S. of given equation.
L.H.S. = `(sqrt(3))^2 -3sqrt(3) xx sqrt(3) + 6 = 0`
= 3 - 9 + 6
= 0
= R.H.S.
x = `sqrt(3)` is a solution of the given equation.
Substitute x = `-2sqrt(3)` in L.H.S. of given equation
⇒ `(-2sqrt(3))^2 -3sqrt(3) xx -2sqrt(3) + 6 = 0`
⇒ L.H.S. = 12 + 18 + 6 ≠ 0 ≠ R.H.S.
x = `-2sqrt(3)` is not a solution of the given equation.
RELATED QUESTIONS
The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.
A two digit number is such that the product of the digits is 16. When 54 is subtracted from the number the digits are interchanged. Find the number
The product of Shikha's age five years ago and her age 8 years later is 30, her age at both times being given in years. Find her present age.
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 separately, find the time in which each pipe would fill the tank separately.
Solve the following quadratic equations by factorization: \[\frac{1}{2a + b + 2x} = \frac{1}{2a} + \frac{1}{b} + \frac{1}{2x}\]
If 2 is a root of the equation x2 + bx + 12 = 0 and the equation x2 + bx + q = 0 has equal roots, then q =
If the sum of the roots of the equation x2 − x = λ(2x − 1) is zero, then λ =
Solve the following by reducing them to quadratic form:
`sqrt(y + 1) + sqrt(2y - 5) = 3, y ∈ "R".`
Solve the following equation by factorization
`(x^2 - 5x)/(2)` = 0
Solve the following equation by factorization
`(1)/(x + 6) + (1)/(x - 10) = (3)/(x - 4)`
