Advertisements
Advertisements
प्रश्न
If \[1 + \sqrt{2}\] is a root of a quadratic equation will rational coefficients, write its other root.
Advertisements
उत्तर
Given that `(1 + sqrt2)` is a root of the quadratic equation with rational coefficients.
Then find the other root.
As we know that if `(1 + sqrt2)`is a root of the quadratic equation with rational coefficients then other roots be `(1 - sqrt2)`.
Hence, the require root of the quadratic equation be `(1 - sqrt2)`.
APPEARS IN
संबंधित प्रश्न
Solve for x :
`3/(x+1)+4/(x-1)=29/(4x-1);x!=1,-1,1/4`
Solve the following quadratic equations
(i) 7x2 = 8 – 10x
(ii) 3(x2 – 4) = 5x
(iii) x(x + 1) + (x + 2) (x + 3) = 42
Solve the following quadratic equations by factorization:
`(x-1)/(2x+1)+(2x+1)/(x-1)=5/2` , x ≠ -1/2, 1
A two digits number is such that the product of the digits is 12. When 36 is added to the number, the digits inter change their places determine the number.
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 each of the following equations by factorization:
`X^2 – 10x – 24 = 0 `
Solve the following quadratic equations by factorization:
`(2x – 3)^2 = 49`
Is there any real value of 'a' for which the equation x2 + 2x + (a2 + 1) = 0 has real roots?
If one root the equation 2x2 + kx + 4 = 0 is 2, then the other root is
Solve the Following Equation : x2- x - a (a + 1) = o
Solve the following equation :
`("x" - 1)/("x" - 2) + ("x" - 3)/("x" - 4) = 3 1/3`
Solve the following quadratic equation using formula method only
6x2 + 7x - 10 = 0
Solve the following equation by factorization
(x – 3) (2x + 5) = 0
Solve the following equation by factorization
6p2+ 11p – 10 = 0
Solve the following equation by factorization
`x + (1)/x = 2(1)/(20)`
Solve the following equation by factorization
`(8)/(x + 3) - (3)/(2 - x)` = 2
At an annual function of a school, each student gives the gift to every other student. If the number of gifts is 1980, find the number of students.
Paul is x years old and his father’s age is twice the square of Paul’s age. Ten years hence, the father’s age will be four times Paul’s age. Find their present ages.
Find the roots of the following quadratic equation by the factorisation method:
`3sqrt(2)x^2 - 5x - sqrt(2) = 0`
If x = 3 is one root of the quadratic equation 2x2 + px + 30 = 0, find the value of p and the other root of the quadratic equation.
