Question

Which of the following is the general form of the equation 5x 2 - 20x = 15?. x 2 - 4x = 3. x 2 - 4x - 3 = 0. 5x 2 - 20x - 15 = 0

Answer 1

Option B is correct

`x^2-4x-3 = 0`

Explanation:

The general form of the equation is given by:

`Ax^2+Bx+C = 0`

Given the equation:

`5x^2-20x = 15`

⇒
`5(x^2-4x) = 15`

Divide both sides by 5 we have;

`x^2-4x =3`

Subtract 3 from both sides we have;

`x^2-4x-3 = 0`

Therefore, the general form of the equation is,
`x^2-4x-3 = 0`

Answer 2

The general form of the equation
`5x^(2) -20x = 15` is
`x^(2) -4x -3 =0`. The general form of an equation is
`A x^(2) + Bx +C=0`

Dividing the whole equation by 5 and transferring 3 to the left side yields the answer
`x^(2) -4x-3 = 0`