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Vaishnavi Gupta asked in Math

Please solve this question soon

Thank You
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Ankita Agarwal answered this

Dear Student,

x+y = 10 y = 10-xand xy = 16Putting y = 10-x, we getx10-x = 1610x-x2-16 = 0x2-10x+16 = 0x2-8x-2x+16 = 0xx-8-2x-8 = 0x-8x-2 = 0x = 8 or x = 2For x = 8, y = 2For x =2,y = 8Taking x=8 and y =2x2 = 64y2 = 4xy = 16Now value of x2-xy+y2 = 64-16+4 = 52x2+xy+y2 = 64+16+4 = 84The value will remain same if we take x=2 and y=8

Regards