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7.The difference of squares of two numbers is 180.times the larger number. Find the two numbers.The square of the smaller number is 8So |
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Answer» let larger number is x, smaller number is ythen A/Q-x^2-y^2=180..........(1)y^2=8x........ (2)from equation (1)and (2)x^2-8x=180x^2-8x-180=0x^2+10x-18x-180=0x(x+10)-18(x+10)=0(x+10)(x-18)=0x+10=0 and x-18=0x=-10 and x=18thereforelarger number is 18And smaller number is y=√8×18=√144=12 |
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