the difference of square of two numbers is 180 . the square of the smaller number is 8 times the larger number . find the two numbers
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Let the larger no be x and smaller be y... According to question...
Xsquare+ysquare=180 and ysquare=8x......
X=ysquare/8 from eq 2...putting value in eq 1 we get..... (y square/8)square+ysquare=180...
Y^4/64+y^2=180...on solving y^4+64y^2=11520
Compare it to quadratic.. Ax2+Bx-c=0
Solve it...let y^2 be t....
Eqn obtained =t^2+t-11520=0.....solve it and find t... And square it to get y and then put the value in eqn 1
Xsquare+ysquare=180 and ysquare=8x......
X=ysquare/8 from eq 2...putting value in eq 1 we get..... (y square/8)square+ysquare=180...
Y^4/64+y^2=180...on solving y^4+64y^2=11520
Compare it to quadratic.. Ax2+Bx-c=0
Solve it...let y^2 be t....
Eqn obtained =t^2+t-11520=0.....solve it and find t... And square it to get y and then put the value in eqn 1
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