हिंदी

Find the Discriminant of the Quadratic Equation 3 √ 3 X 2 + 10 X + √ 3 = 0 . - Mathematics

Advertisements
Advertisements

प्रश्न

Find the discriminant of the quadratic equation \[3\sqrt{3} x^2 + 10x + \sqrt{3} = 0\].

संक्षेप में उत्तर
Advertisements

उत्तर

Given that quadric equation is \[3\sqrt{3} x^2 + 10x + \sqrt{3} = 0\].

Then, find the value of discrimenant.

Here, `a =3sqrt3 , b = 10 and , c = sqrt 3` 

As we know that discrimenant D = b^2 - 4ac

Putting the value of `a =3sqrt3 , b = 10 and , c = sqrt 3` 

` = (10)^2 - 4 xx 3 sqrt3 xx sqrt3`

= 100 - 36

 = 64

Thus, the value of discrimenant be D = 64 .

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Quadratic Equations - Exercise 4.14 [पृष्ठ ८२]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 4 Quadratic Equations
Exercise 4.14 | Q 14 | पृष्ठ ८२

संबंधित प्रश्न

Solve for x :

`2/(x+1)+3/(2(x-2))=23/(5x), x!=0,-1,2`


Solve the following quadratic equation by factorization method : `3x^2-29x+40=0`


Solve the following quadratic equations by factorization:

`x^2+(a+1/a)x+1=0`


The sum of the squares of two numbers as 233 and one of the numbers as 3 less than twice the other number find the numbers.


Find the tow consecutive positive odd integer whose product s 483. 


Determine whether the values given against the quadratic equation are the roots of the equation.

x2 + 4x – 5 = 0 , x = 1, –1


Find the value of k for which the following equations have real and equal roots:

\[x^2 - 2\left( k + 1 \right)x + k^2 = 0\]


The perimeter of the right angled triangle is 60cm. Its hypotenuse is 25cm. Find the area of the triangle. 


The speed of a boat in still water is 15km/ hr. It can go 30km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.


A car covers a distance of 400 km at a certain speed. Had the speed been 12 km/hr more, the time taken for the journey would have been 1 hour 40 minutes less. Find the original speed of the car.


Solve the equation x4 + 2x3 - 13x2 + 2x + 1 = 0.


Solve the following equation by factorization

6p2+ 11p – 10 = 0


Solve the following equation by factorization

2x2 – 9x + 10 = 0,when x∈Q


Solve the following equation by factorization

a2x2 + (a2+ b2)x + b2 = 0, a ≠ 0


A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 square metres, assuming the width of the walk to be x, form an equation in x and solve it to find the value of x.


An aeroplane flying with a wind of 30 km/hr takes 40 minutes less to fly 3600 km, than what it would have taken to fly against the same wind. Find the planes speed of flying in still air.


Ritu bought a saree for Rs. 60x and sold it for Rs. (500 + 4x) at a loss of x%. Find the cost price.


Solve the following equation by factorisation :

`sqrt(3x^2 - 2x - 1) = 2x - 2`


If the sum of the roots of the quadratic equation ky2 – 11y + (k – 23) = 0 is `13/21` more than the product of the roots, then find the value of k.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×