1. 2x^2 + 6x - 5 = 0
a = 2 | b = 6 | c = -5
a. p+q = -b/a
= -6/2
= -3
b. p.q = c/a
= -5/2
c. p^2 + q^2
= (p1 + q2)^2 - 2x1.x2
= (-3)^2 - 2(-5/2)
= 9 + 10/2
= 29/2
d. 1/p + 1/q
= p1 + q2/p1.q2
= -3 ÷ -5/2
= -3/1 × -5/2
= -3/1 × -2/5
= -3 × -2/1 × 5
= 6/5
= 1 1/5
e. (p - q)^2
= p1^2 - 2x1.x2 + q2^2
= p1 + q2 - 2(-5/2)
= -3 + 10/2
= 4/2
= 2
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1. 2x^2 + 6x - 5 = 0
a = 2 | b = 6 | c = -5
a. p+q = -b/a
= -6/2
= -3
b. p.q = c/a
= -5/2
c. p^2 + q^2
= (p1 + q2)^2 - 2x1.x2
= (-3)^2 - 2(-5/2)
= 9 + 10/2
= 29/2
d. 1/p + 1/q
= p1 + q2/p1.q2
= -3 ÷ -5/2
= -3/1 × -5/2
= -3/1 × -2/5
= -3 × -2/1 × 5
= 6/5
= 1 1/5
e. (p - q)^2
= p1^2 - 2x1.x2 + q2^2
= p1 + q2 - 2(-5/2)
= -3 + 10/2
= 4/2
= 2