See the pic....
answer the ques!!
Attachments:
Anonymous:
☺️
Answers
Answered by
2
he mate here is your answer the numbers will be x square and y square the larger number will be expired in the smaller number will be why square the equation will be x square minus y square is equal to 180 then it is given that y square equal to a text on putting a text into the equation the equation will be x square - 8 x is equal to 180 now you can solve it
Answered by
9
Let the two numbers be x and y.
Given that the difference of two square numbers is 180.
x^2 - y^2 = 180 -------- (1)
Given that the square of the smaller number is 8 times the larger number.
y^2 = 8x --------- (2)
substitute (2) in (1), we get
x^2 - 8x = 180
x^2 - 8x - 180 = 0
x^2 + 10x - 18x - 180 = 0
x(x + 10) - 18(x + 10) = 0
(x + 10)(x - 18) = 0
x = -10,18.
The value of x cannot be negative, so x = 18.
Substitute x = 18 in (1), we get
x^2 - y^2 = 180
18^2 - y^2 = 180
324 - y^2 = 180
-y^2 = 180 - 326
-y^2 = -144
y^2 = 144
y = 12.
Therefore the two numbers are 18 and 12.
Verification:
18^2 - 12^2 = 180
324 - 144 = 180
180 = 180.
Hope this helps!
Given that the difference of two square numbers is 180.
x^2 - y^2 = 180 -------- (1)
Given that the square of the smaller number is 8 times the larger number.
y^2 = 8x --------- (2)
substitute (2) in (1), we get
x^2 - 8x = 180
x^2 - 8x - 180 = 0
x^2 + 10x - 18x - 180 = 0
x(x + 10) - 18(x + 10) = 0
(x + 10)(x - 18) = 0
x = -10,18.
The value of x cannot be negative, so x = 18.
Substitute x = 18 in (1), we get
x^2 - y^2 = 180
18^2 - y^2 = 180
324 - y^2 = 180
-y^2 = 180 - 326
-y^2 = -144
y^2 = 144
y = 12.
Therefore the two numbers are 18 and 12.
Verification:
18^2 - 12^2 = 180
324 - 144 = 180
180 = 180.
Hope this helps!
Similar questions