The difference of a number p and 15 is greater than -18. WRITE THE WORD SENTENCE AS AN INEQUALITY. THEN SOLVE THE INEQUALITY ALGEBRAICALLY

P-15>18

P>33

Step-by-step explanation:

First, you need to make the equation. Knowing that deference means you need to subtract, you write it out. P-15>18 . Then to solve it, you add the 15 over to the other side. 18+15=33, therefore p>33

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