Question

If the equation x2+6x-91= 0 can be written as (x+p)(x+q) then find p and q

Answer 1

First we have to find roots of quadratic equation and then put it similar to that value of p and q and the answers are 13 and -7

Answer 2

Hlo friend.. Cutiepie Here..

Here is ur answer :

We have a equation that is

${x}^{2} + 6x - 91 = 0$


The equation Can be written as ( x + p ) ( x +q)

Now we have to do the middle term splitting.



${x}^{2} + 13x - 7x - 91$


$x(x + 13) - 7(x + 13)$


$(x + 13)(x - 7)$



Substituting the values

$(x + 13)(x - 7) = (x + p)(x + q)$


➡️Value of

✴️p = 13

✴️q = - 7


HOPE IT HELPS YOU..

REGARDS
@sunita