हिंदी

If the sum of the zeros of the quadratic polynomial kx^2 – 3x + 5 is 1, write the value of k.

Advertisements
Advertisements

प्रश्न

If the sum of the zeros of the quadratic polynomial kx2 – 3x + 5 is 1, write the value of k.

योग
Advertisements

उत्तर

By using the relationship between the zeroes of the quadratic polynomial.

We have 

Sum of zeroes = `(-("Coefficient of"  x))/(("Coefficient of"  x^2))` 

⇒ `1 = (-(-3))/k` 

⇒ k = 3

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Polynomials - EXERCISE 2C [पृष्ठ ६६]

APPEARS IN

आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 2 Polynomials
EXERCISE 2C | Q 11. | पृष्ठ ६६

संबंधित प्रश्न

Find the zeros of the polynomial f(x) = x2 + 7x + 12 and verify the relation between its zeroes and coefficients.


Find the zeroes of the quadratic polynomial f(x) = x2 + 3x – 10 and verify the relation between its zeroes and coefficients.


If one zero of the polynomial x2 – 4x + 1 is `(2 + sqrt(3))`, write the other zero.


Find the zeros of the polynomial x2 – 3x – m(m + 3).


If 1 is a zero of the quadratic polynomial ax2 – 3(a – 1)x – 1 is 1, then find the value of a.


If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k.. 

 

 


If α and β are the zeros of the polynomial f(x) = 6x2 + x – 2, find the value of  `(α/β + α/β)`.


If one of the zeroes of the quadratic polynomial (k – 1) x2 + kx + 1 is - 3, then the value of k is ______.


A quadratic polynomial, whose zeroes are -3 and 4, is ______.


The zeroes of the quadratic polynomial x2 + 99x + 127 are ______.


If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.


If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it ______.


If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.


If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is ______.


If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is ______.


If α and β are the zeroes of the polynomial x2 – 1, then the value of (α + β) is ______.


The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×