Question

what is the value of discriminant x2+6x-15=0​

Answer 1

Answer:

2x+6x-15=0

8x=15

x=15/8

hope it helps you friend

Answer 2

Answer :

D = 96

Note :

★ 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 + 6x - 15 = 0
• To find : Discriminant , D = ?

We have ,

x² - 6x - 15 = 0

Now ,

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

a = 1

b = -6

c = -15

Now ,

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

=> D = b² - 4ac

=> D = (-6)² - 4•1•(-15)

=> D = 36 + 60

=> D = 96 (D > 0)

Moreover ,

Since the discriminant of the given quadratic equation is greater than zero , thus its roots will be real and distinct .