Question

18.
For what value of 'p', the equation 3x² + px + 3 = 0 has real roots?

Answer 1

FOR THE QUADRATIC EQUATION TO HAVE EQUAL ROOTS IT IS OF WHEN

`{b}^(2) - 4ac = 0`

WHERE b=p

a=3

c=3

LET US SUBSTITUTE IN THE GIVEN CONDITION

`{p}^(2) - 4(3)(3) = 0 \\ {p}^(2) - 36 = 0 \\`

YOU WILL FIND THE EQUATION OF WHICH YOU WILL HAVE TO SOLVE FOR p

`(p - 6)(p + 6) = 0 \\ p - 6 = 0 \\ or \\ p + 6 = 0 \\ \\ p = 6 \\ \\ or \\ \\ p = - 6`

FOR THE GIVEN EQUATION TO HAVE EQUAL ROOTS IT IS OF WHEN P=6 OR P=-6

GOODLUCK!