Question

What is the value of p??
5p^2-33p-309=0

Answer 1

Solve Quadratic Equation using the Quadratic Formula

3.3 Solving 5p2-33p-309 = 0 by the Quadratic Formula .

According to the Quadratic Formula, p , the solution for Ap2+Bp+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

p = ————————

2A

In our case, A = 5

B = -33

C = -309

Accordingly, B2 - 4AC =

1089 - (-6180) =

7269

Applying the quadratic formula :

33 ± √ 7269

p = ——————

10

√ 7269 , rounded to 4 decimal digits, is 85.2584

So now we are looking at:

p = ( 33 ± 85.258 ) / 10

Two real solutions:

p =(33+√7269)/10=11.826

or:

p =(33-√7269)/10=-5.226

Two solutions were found :

p =(33-√7269)/10=-5.226

p =(33+√7269)/10=11.826