हिंदी

If one root of the quadratic equation is 3 – 2√5 , then write another root of the equation. - Algebra Mathematics 1

Advertisements
Advertisements

प्रश्न

If one root of the quadratic equation is `3 – 2sqrt5` , then write another root of the equation.

Advertisements

उत्तर

One root of the quadratic equation is given to be `3 – 2sqrt5`

The other root will be the conjugate of `3 – 2sqrt5

conjugate of `3 – 2sqrt5=3 + 2sqrt5`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2016-2017 (March) Set A

संबंधित प्रश्न

If `x=2/3` and x =3 are roots of the quadratic equation ax2 + 7x + b = 0, find the values of a and b.


Is it possible to design a rectangular park of perimeter 80 and area 400 m2? If so find its length and breadth.


Without solving the following quadratic equation, find the value of ‘p’ for which the roots are equal.

px2 – 4x + 3 = 0


Find the values of k for which the roots are real and equal in each of the following equation:

(3k+1)x2 + 2(k + 1)x + k = 0


In the following determine the set of values of k for which the given quadratic equation has real roots:

3x2 + 2x + k = 0


Find the values of k for which the given quadratic equation has real and distinct roots:

kx2 + 2x + 1 = 0


Determine the nature of the roots of the following quadratic equation :

4x2 - 8x + 5 = 0 


Solve the following quadratic equation using formula method only 

`3"x"^2 + 2 sqrt 5x - 5 = 0 `


Solve the following quadratic equation using formula method only 

16x2 - 24x = 1


If a = 1, b = 8 and c = 15, then find the value of  `"b"^2 - 4"ac"`


Solve the following by reducing them to quadratic equations:
x4 - 26x2 + 25 = 0


Solve for x: (x2 - 5x)2 - 7(x2 - 5x) + 6 = 0; x ∈ R.


Without solving the following quadratic equation, find the value of ‘p’ for which the given equations have real and equal roots: px2 – 4x + 3 = 0


If – 5 is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation p(x2 + x) + k = 0 has equal roots, find the value of k.


Find the value(s) of k for which each of the following quadratic equation has equal roots: 3kx2 = 4(kx – 1)


Complete the following activity to find the value of discriminant for quadratic equation 4x2 – 5x + 3 = 0.

Activity: 4x2 – 5x + 3 = 0

a = 4 , b = ______ , c = 3

b2 – 4ac = (– 5)2 – (______) × 4 × 3

= ( ______ ) – 48

b2 – 4ac = ______


Let p be a prime number. The quadratic equation having its roots as factors of p is ______.


If the quadratic equation ax2 + bx + c = 0 has two real and equal roots, then 'c' is equal to ______.


Solve the following quadratic equation:

x2 + 4x – 8 = 0

Give your Solution correct to one decimal place.

(Use mathematical tables if necessary.)


The roots of the quadratic equation x2 – 6x – 7 = 0 are ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×