PLEASE HEL If the difference of two number is 3 and the product is 70 then find the sum of the square of the numberrs

149

7 and 10

10-7=3

10×7=70

7²= 49

10²= 100

100+49 = 149

Please put the Brainlest

let two numbers be x & y

x-y=3 (1)

by question

xy=70

x=70/y (2)

Explanation:

putting the value of x in equation 1,we get

70/y-y=3

(70-y²)/y=3

70-y²=3×y

70-y²=3y

0=y²+3y-70

y²+10y-7y-70=0

y(y+10)-7(y+10)=0

(y+10)(y-7)=0

either

y=-10(rejected)

or

y=7

:.y=7

putting the value of x in equation 1

x-7= 3

x=3+7=10

therefore required no is 3 and10

a. european colonies