Question

assignment
1.b) If x + y = 15 and xy = 50, find the value of x2 + y2 .
1.d) If 2x + 3y = 12 and xy = 6, find the value of 4x2 + 9y2 .
2.b) If x - y = 5 and xy = 50, find the value of x2 + y2 .
2.d) If 4x – 5y = 6 and xy = 8, find the value of 16x2 + 25y2 .
3.b) If x −1/x= 8 then find the value of x2 +1/x2 .
3.d) If 3x2 −1/2x2= 1 then find the value of 9/x4 +1/4x4
. 3.f) If p +1/p= 15 then find the value of p2 +1/p2 .
4.b) If x −1/x= 6 then find the value of:
i) x2 +1/x2 ii) x4 +1/x4
4.d) If x – y = 7 and xy = 9, find the value of:
i) x2 + y2 ii) x4 + y4
ps: best answer will be marked as brainliest

Answer 1

Answer:

1.b) x+y=15

by squaring both sides

(x+y)^2=(15)^2

x^2+y^2 +2×x×y=225

x^2+y^2+2×50=225

x^2+y^2+100 =225

x^2+y^2 =225-100

x^2+y^2,=125

1.d).by squaring both sides

(2x+3y)^2=(12)^2

(2x)^2+(3y)^2+2×2x×3y=144

(2x)^2+(3y)^2+12xy=144

4x^2+9y^2+12×6=144

4x^2+9y^2+72 =144

4x^2+9y^2=144-72

4x^2+9y^2=72

2.b) by squaring both sides

(x-y)2=(5)2

(x)2+(y)2-2×x×y=25

(x)2+(y)2-2×50=25

(x)2+(y)2-100=25

(x)2+(y)2=25+100

(x)2+(y)2=125

2.d). by squaring both sides

(4x-5y)2=(6)2

(4x)2+(5y)2-2×4x×5y=36

16x2+25y2-40xy=36

16x2+25y2-40×8=36

16x2+25y2-320=36

16x2+25y2=36+320

16x2+25y2=356