Question

x^2-4x+30=0 discrimination
​

Answer 1

Answer:

-480

Step-by-step explanation:

b2-4ac

a=1,b=-4,c=30

(-4)2×-4(1)(30)

=16×-30

=-480

Answer 2

Answer :

D = -104

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 general form of a quadratic equation is given as ; ax² + bx + c = 0

★ 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 :

• Given : x² - 4x + 30 = 0
• To find : Discriminant , D = ?

We have x² - 4x + 30 = 0 .

Now ,

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

a = 1

b = -4

c = 30

Now ,

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

=> D = b² - 4ac

=> D = (-4)² - 4•1•30

=> D = 16 - 120

=> D = -104

Moreover , since the discriminant D < 0 thus the given quadratic equation will have imaginary roots .