Question

What two steps are necessary to put this equation into standard form?

x^2-3x+27=8x-3

A. Add 3 to both sides and subtract 8x from both sides.
B. Add 3 to both sides and add 8x from both sides
C. The equation is already in standard form
D. Subtract 3 to both sides and subtract 8x from both sides

Answer 1

A because Add 3 would be x^2-3x+30=8x then subtract 8x would be x^2-11x+30=0

Answer 2

Add 3 to both sides and subtract 8x from both sides.

Explanation:

The standard form of a quadratic equation is

`ax^2+bx+c=0`

Here a should not be zero.

Now, we have to write the given equation in this form

we have to take 8x and -3 to the left side of the equation in order to write the equation in standard form.

Therefore, we have to subtract 8x and add 3 to both sides of the equation.

When we do this operation, we'll get the equation in standard form which is given by

`x^2-3x-8x+27+3=0\\x^2-11x+30=0`

Hence, option is correct.

Add 3 to both sides and subtract 8x from both sides.