Question

If x+y=12 and xy =14 find x 4 + y 4

Answer 1

Answer:

13,064

Step-by-step explanation:

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2 xy \\ = > {(12)}^{2} = {x}^{2} + {y}^{2} + 2 \times 14 \\ = > 144 = {x}^{2} + {y}^{2} + 28 \\ = > 144 - 28 = {x}^{2} + {y}^{2} \\ = > {x}^{2} + {y}^{2} = 116$

${({x}^{2} + {y}^{2}) }^{2} = {x}^{4} + {y}^{4} + 2 {x}^{2} {y}^{2} \\ = > {(116)}^{2} = {x}^{4} + {y}^{4} + 2 \times {(xy)}^{2} \\ = > 13456 = {x}^{4} + {y}^{4} + 2 \times {(14)}^{2} \\ = > 13456 = {x}^{4} + {y}^{4} + 2 \times 196 \\ = > 13456 = {x}^{4} + {y}^{4} + 392 \\ = > 13456 - 392 = {x}^{4} + {y}^{4} \\ = > {x}^{4} + {y}^{4} = 13064$

Hope it helps you.....✔✔✔

PLEASE FOLLOW ME......

Answer 2

Step-by-step explanation:

plz follow me...........