Simplifying
p + -4 = (-9) + p
Reorder the terms:
-4 + p = (-9) + p
-4 + p = -9 + p
Add '-1p' to each side of the equation.
-4 + p + -1p = -9 + p + -1p
Combine like terms: p + -1p = 0
-4 + 0 = -9 + p + -1p
-4 = -9 + p + -1p
Combine like terms: p + -1p = 0
-4 = -9 + 0
-4 = -9
Solving
-4 = -9
Answer:
p-q= -4
p=q-4
x^2 + px + q=0
=> x^2 + (q-4)x + q = 0
d= b^2-4ac
=(q-4)^2 - 4(1)(q)
= q^2 + 16 -8q - 4q
=q^2 -12q+16
given that D=16
q^2 -12q+16 = 16
=> q^2 -12q = 0
=> q^2 = 12q
=> q = 12q/q
=> q= 12
Therefore the value of q is 12 and the value of p is q-4 = 12-4= 8
Hope you understood............
i hope this helps! let me know if you want me to explain more. sorry the picture is a little blurry
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