Advertisements
Advertisements
प्रश्न
If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` , write the other zero.
Advertisements
उत्तर
Let the other zeroes of `x^2 – 4x + 1` be a.
By using the relationship between the zeroes of the quadratic polynomial.
We have, sum of zeroes =`(-("Coefficient of x"))/(("Coefficient of" x^2))`
∴` 2+sqrt3+a=-((-4))/1`
⇒` a = 2 – sqrt3`
Hence, the other zeroes of` x^2 – 4x + 1 is 2 – sqrt3`
APPEARS IN
संबंधित प्रश्न
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in the following.

The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x).

The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x).

Find the zeros of the polynomial `f(x) = x^2 + 7x + 12` and verify the relation between its zeroes and coefficients.
Find the zeroes of the quadratic polynomial `f(x) = x^2 + 3x ˗ 10` and verify the relation between its zeroes and coefficients.
Find the zeroes of the quadratic polynomial `f(x) = 5x^2 ˗ 4 ˗ 8x` and verify the relationship between the zeroes and coefficients of the given polynomial.
If f(x) =`x^3-3x+5x-3` is divided by g(x)=`x^2-2`
Find the zeroes of the polynomial `x^2 – 3x – m(m + 3)`
If -4 is a zero of the polynomial `x^2 – x – (2k + 2) is –4`, then find the value of k.
Find the sum of the zeros and the product of zeros of a quadratic polynomial, are `−1/2` and \ -3 respectively. Write the polynomial.
If 𝛼, 𝛽 are the zeroes of the polynomial `f(x) = x^2 – 5x + k` such that 𝛼 - 𝛽 = 1, find the value of k = ?
If the zeroes of the polynomial `f(x) = x^3 – 3x^2 + x + 1` are (a – b), a and (a + b), find the values of a and b.
The number of polynomials having zeroes as -2 and 5 is ______.
If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it ______.
A polynomial of degree n has ______.
If f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.
The number of polynomials having zeroes as -2 and 5 is ______.
The given linear polynomial y = f(x) has

