If (3, -2) is a solution of the linear equation 3x – py – 7 =0, then find the value of p.

-1

Step-by-step explanation:

So to solve this, it tells you that (3, -2) is a solution so you can substitute x = 3 and y = -2 into the equation which would look like this:

Then, you solve the equation for p:

first, simplify the left side

subtract 2 from both sides

divide both sides by 2

Now, you have p = -1!

hope that makes sense :D

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0