Question

for what value of k does the equation x+2x+k2+1=0 has real and equal roots?

Answer 1

Heya friend!!

Here's ur ans with solution :)

✴✴As we know that if the quadratic equation has equal and real roots then it's discriminant will be equal to zero.

So, D = 0

and also

D = b²- 4ac .....( i )

☣ Here,

a = 1

b = 2

c = k² + 1

putting dis value on equation ( i )

D = b² - 4ac

0 = (2)² - 4 × 1 × ( k² + 1 )

0 = 4 - 4k² -4

0 = 4k²

0 = k²

k = 0

☢So, for the value of k = 0
the quadratic equation has real and equal roots.


@Altaf