Question

the discriminat of the quadratic equation 3_/3x2 + 10x +_/3=0

a) 8
b) 64
c) -1/3_/3
d) -_/3
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Answer 1

Answer :

b) 64

Note:

★ The possible values of the variable which satisfy the equation are called its roots or solutions .

★ A quadratic equation can have atmost two roots .

★ The discriminant , D of the quadratic equation ax² + bx + c = 0 is given by ;

D = b² - 4ac

★ If D = 0 , then the roots are real and equal .

★ If D > 0 , then the roots are real and distinct .

★ If D < 0 , then the roots are unreal (imaginary) .

Solution :

Here ,

The given quadratic equation is ;

3√3x² + 10x + √3 = 0

Now ,

Comparing the given quadratic equation with the general quadratic equation ax² + bx + c = 0 , we have ;

a = 3√3

b = 10

c = √3

Now ,

The discriminant of the given quadratic equation will be given as ;

=> D = b² - 4ac

=> D = 10² - 4•3√3•√3

=> D = 100 - 36

=> D = 64

Hence ,

The discriminant of the given quadratic equation is 64 .

Moreover ,

Since the discriminant D > 0 , thus its roots will be real and distinct .

Answer 2

Step-by-step explanation:

Given :

• the discriminat of the quadratic equation 3√3x² + 10x +√3=0

To Find :

• What is the discriminat

Ax² + bx + c = 0 , we have ;

• A = 3√3

• B = 10

• C = √3

We Have :

Concept :

The discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots. The discriminant of a polynomial is generally defined in terms of a polynomial function of its coefficients.

D = b² - 4ac

Substitute all values :

D = 10² - 4 × 3√3 × √3

D = 100 - 4 × 9

D = 100 - 36

D = 64

The discriminant of the given quadratic equation is 64 .