Question

i) Form equations for the following statements:

[a] the sum of a natural number and its square is 30.

[b] the length ( ) of a rectangle is greater than its breadth by 3 cm. The area of the rectangle

is 70 sq.cm

[c] The digit at ten’s place of a two digit number is greater than the square of digit at unit

place ( ) by 5 and the number formed is 61.​​

Answer 1

Step-by-step explanation:

(a) let natyral number is X.

according to condition

x+x2=30

(b)breadth =X

length = X+3

area of rectangle = X(X+3)

(c) digit at one place =X

digit at tens place = y

y = x2+5

10(x2+5) + x = 61