Question

1. for what value of p, each of the following equation has real
roots [76-80) ?
a. pa²+62 + 1 = 0​

Answer 1

Answer:

Step-by-step explanation:

Given 5kx  

2

−8x+2=0

The standard quadratic equation is ax  

2

+bx+c=0  

Here a=5k;b=−8;c=2

D=b  

2

−4ac

=(−8)  

2

−4×5k×2

=64−40k

For real roots

D≥0

⇒64−40k≥0

⇒40k≥64

⇒k≥  

40

64

​  

 

∴k≥  

5

8

​