Question

the difference of square of two number is 180.the square of tye smaller number is 8 times the large number find the two numbers​

Answer 1

Step-by-step explanation:

Let the smaller no. be = x

And the larger no = y

Also given the square of two no is=180

according to ist condition

x2-y2=180 eq.i

according to 2nd condition

x=8y eq.ii

put the value of x in equation i

x2-y2=180

8y-y2 =180

8y-y2-180=0

-y2+8y-180=0

+ - +

y2-8y+180=0

on compare it with ax2+bx+c=0

Here A=1

B=-8

C=180

Now (D)= b2-4ac

= (-8)2-4×1×180

= 64-720

= 656

by using quadratic formula =

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