<h3><u>Correct Questions :- </u></h3>
Find the values of P for which the quadratic equation 4x²+px+3=0 , provided that roots are equal or discriminant is zero .
<h3><u>Solution</u>:- </h3>
Let us Consider a quadratic equation αx² + βx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.
For equal roots

So,

Here,
Now,







Thus, the values of P for which the quadratic equation 4x²+px+3=0 are-
4√3 and -4√3.
The given operation involves just swapping the two rows, so carrying out

on the matrix gives
2745
Step-by-step explanation:
solve it like simultaneously
180x+120y greater than 5145
180x+120y greater than 2400
eliminate x
y will now be greater than 2745
1/3 2/5 0.5 1/4 here is ur answer