मराठी

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 \[3\sqrt{3} x^2 + 10x + \sqrt{3} = 0\].

थोडक्यात 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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Quadratic Equations - Exercise 4.14 [पृष्ठ ८२]

APPEARS IN

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

संबंधित प्रश्‍न

Solve the following quadratic equation by Factorisation method: x2 + 7x + 10 = 0


Find the roots of the following quadratic equation by factorisation: 

2x2 + x – 6 = 0


Solve:

`1/p + 1/q + 1/x = 1/(x + p + q)`


Solve:

x(x + 1) + (x + 2)(x + 3) = 42


The sum of a natural number and its square is 156. Find the number. 

 


Solve for x: `3x^2-2sqrt3x+2=0`


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

2m2 – 5m = 0, m = 2, `5/2`


Solve the following quadratic equations by factorization:

\[\frac{4}{x} - 3 = \frac{5}{2x + 3}, x \neq 0, - \frac{3}{2}\]


If x = 1 is a common root of ax2 + ax + 2 = 0 and x2 + x + b = 0, then, ab =


Solve the following equation:  c


Two natural numbers differ by 4. If the sum of their square is 656, find the numbers.


Solve the following quadratic equation by factorisation method:
`(x + 3)/(x - 2) - (1 - x)/x = (17)/(4)`.


Solve the following quadratic equation:
4x2 - 4ax + (a2 - b2) = 0 where a , b ∈ R.


Solve the following equation by factorization

3x2 – 5x – 12 = 0


Solve the following equation by factorization

`x + (1)/x = 2(1)/(20)`


Find the values of x if p + 7 = 0, q – 12 = 0 and x2 + px + q = 0,


A wire ; 112 cm long is bent to form a right angled triangle. If the hypotenuse is 50 cm long, find the area of the triangle.


The product of two successive integral multiples of 5 is 300. Then the numbers are:


At t minutes past 2 pm, the time needed by the minutes hand of a clock to show 3 pm was found to be 3 minutes less than `t^2/4` minutes. Find t.


If 'p' is a root of the quadratic equation x2 – (p + q) x + k = 0, then the value of 'k' is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×