The quadratic cannot be factorised. Its roots are irrational.
p2+2pq+q2=1
rutherford
(p=-15)(p=1)
p2 + 2pq + q2 = 1q2 + 2pq + (p2 - 1) = 0q = 1/2 [ -2p plus or minus sqrt( 4p2 - 4p2 + 4 ) ]q = -1 - pq = 1 - p
p2+10d+7
P2 + 13p - 30 = 0 Answer: p= -15, p = 2
This quadratic expression can not be factored because its discriminant is less than zero.
(p + 12)(p - 7) p = 7, -12
(p - 9)(p - 9)
p2 + 3p - 4What two factors of - 4 add up to 3 ??(p - 1)(p + 4)===============so,p = 1p = - 4
p2 - 25 = (p - 5)(p + 5)
P2 + l 2 + w