Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

In a quadratic function, recall that the discriminant D = b2 - 4ac. For which function is it true that a < 0 and D = 0?

Sagot :

akiran007

Answer:

If D = 0, then the quadratic equation has 1 solution x = − b/2a

Step-by-step explanation:

If we have a quadratic equation x² +3x-4= 0

Then the corresponding values of a= 1, b=3, c= -4

Finding the discriminant gives

D=  b2 - 4ac.

D= 3²- 4(1) (-4)

D= 9 + 16

D= 25  

Here a> 0

But if a< 0  e.g a= -1

D=  b2 - 4ac.

D= 3²- 4(-1) (-4)

D= 9 - 16

D= -7  

Here a < 0 so we get the answer -7  < 0

D=  b2 - 4ac.

D= 4²- 4(-1) (-4)

D= 16 - 16

D= 0  

Here a< 0 and b= - c so that D= 0

When D < 0 roots do not exist.

If D = 0, then the quadratic equation has 1 solution x = − b/2a

This can be found out by using the quadratic formula

x= -b±√b²- 4ac/ 2a

But D= 0

x= -b±0/ 2a

x= -b/2a

​

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.