Directions (1-5): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
(a) if x > y
(b) if x ≥ y
(c) if x < y
(d) if x ≤ y
(e) if x = y or relationship between x and y cannot be established.
(a) if x > y
(b) if x ≥ y
(c) if x < y
(d) if x ≤ y
(e) if x = y or relationship between x and y cannot be established.
1) I. 3X^2-22X+7=0
II. Y^2-15Y+56=0
II. Y^2-15Y+56=0
2) I. 2X^2-17x+36=0
II. 2Y^2-19Y+44=0
II. 2Y^2-19Y+44=0
3) I. 3X^2+20X+25=0
II. 3Y^2+14Y=8=0
II. 3Y^2+14Y=8=0
4) I. 3X^2+5X+2=0
II. 3Y^2+17Y+24=0
II. 3Y^2+17Y+24=0
5) I. X-√169=0
II. Y^2-169=0
II. Y^2-169=0
Answers-
1) (d)
X= +7.0, +0.33
Y= +7.0, +8
X= +7.0, +0.33
Y= +7.0, +8
2) (e)
X= +4.0, +4.5
Y= +4.0, +5.5
X= +4.0, +4.5
Y= +4.0, +5.5
3) (e)
X= -1.6, -5.0
Y= -0.6, -4.0
X= -1.6, -5.0
Y= -0.6, -4.0
4) (a)
Here roots of X will be +6, -1 and +3, +2 but answer always x > y
X= -2.0, +0.33 or -1, -0.66
Y= -2.6, -3.0
X= -2.0, +0.33 or -1, -0.66
Y= -2.6, -3.0
5) (b)
X= +13.0
Y= 13.0, +13.0
X= +13.0
Y= 13.0, +13.0