Question

11The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown. Step 1: –c = ax2 + bx Which best explains or justifies Step 1? subtraction property of equality completing the square factoring out the constant zero property of multiplication

Answer 1

Quadratic equation is of the form

`0=ax^2+bx+c`

And to derive quadratic formula from quadratic equation, we need to get rid of c from right side and move it to left side .

And for that, we have to subtract c to both sides, that is

`-c = ax^2 +bx`

And since we do subtraction, so we have used subtraction property here.