Question

According to the question we know that The given quadratic polynomial is fx = x²+px+45
we can say that α+ β= -p
and also, say αβ = 45
Now,
we can show that
( α + β )² - 4αβ = (α - β )²
(α + β)² - 4αβ = 144
we know that (α+β)² = -p and αβ = 44 then we put it value in given equation
So,
p² - 4 × 45 = 144
p ² - 180 = 144
p² = 144+ 180
p² = 324
p = √324
p = ±18
In this answer how did that 4 come please answer next week midterm and I was practising

Answer 1

Answer:

That is the formula, my friend!!

(a+b)²-4ab = a²+b²+2ab-4ab

= a²+b²-2ab = (a-b)².

I hope my answer helped you.

If so, please mark my answer as BRAINLIEST!!!