9p^2-5p-4=0 formula method
Answers
Answer:
9p2-5p-4=0
Two solutions were found :
p = -4/9 = -0.444
p = 1
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "p2" was replaced by "p^2".
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(32p2 - 5p) - 4 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 9p2-5p-4
The first term is, 9p2 its coefficient is 9 .
The middle term is, -5p its coefficient is -5 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 9 • -4 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
9p2 - 9p + 4p - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
9p • (p-1)
Add up the last 2 terms, pulling out common factors :
4 • (p-1)
Step-5 : Add up the four terms of step 4 :
(9p+4) • (p-1)
Which is the desired factorization
Equation at the end of step 2 :
(p - 1) • (9p + 4) = 0
Answer:
9p^2-5p-4=0 formula method