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 determine the value of ‘a’ for which the equation (a-2)x² + 3x + 5=0 will not be a quadratic equation.

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 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°.

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.