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Divide 16 in 2 parts such …

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Divide 16 in 2 parts such that twice the square of the larger part exceeds the square of the smaller part by 164

    • Posted by Tanmaee Sawant 6 years, 5 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Anjali Sahu 6 years, 5 months ago

    Let the larger no. be "x" and smaller no. be "y" x+y=16 y=16-x Acc. to the question 2x2(2xsquare) = y2 +164 2x2= (16-x)2 +164 2x2=256+x2-32x+164 x2+32x-420=0 Then by solving the above quadratic equation we get x=-42 and x=10 Since the nos. can't be negative therefore x=10 Putting value of x in x+y=16 10+y=16 y=6 The two parts if 16 are 10 and 6

    3Thank You

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