The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
NCERT Class X
Mathematics - Mathematics
Chapter _QUADRATIC EQUATIONS
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Let numbers be x and y.
So, x2 - y2 = 180
y2 = 8x
or,
So, x2 - 8x -180 = 0
or, x2 - 18x +10x -180 = 0
or, (x-18)(x+10) = 0
So, x = 18
y = sqrt of 18*8 = 12
Answer:- Two numbers are 12 and 18
So, x2 - y2 = 180
y2 = 8x
or,
So, x2 - 8x -180 = 0
or, x2 - 18x +10x -180 = 0
or, (x-18)(x+10) = 0
So, x = 18
y = sqrt of 18*8 = 12
Answer:- Two numbers are 12 and 18
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