Let us express the equation (x+2)³ = x (x² - 1) in the form of ax² + bx + c = 0 (a ≠ 0) and write the co-efficient of x², x and x°.

If be expressed in the form of ax² + bx + c = 0 (a ≠ 0), then let us determine the co-efficient of x.

Let us express 3x² + 7x + 23 = (x + 4) (x + 3) = 2 in the form of the quadratic equation ax² + bx + c = 0 (a ≠ 0)

Let us construct the quadratic equations in one variable from the following statements.

i. Divide 42 into two parts such that one part is equal to the square of the other part.

ii. The product two consecutive positive odd numbers is 143.

iii. The sum of the squares of two consecutive numbers is 313.

Let us construct the quadratic equations in one variable from the following statements.

The length of the diagonal of a rectangular area is 15 m. and the length exceeds its breadth by 3 m.