Question

Bao yu is completing the square to solve the polynomial epuation

Answer 1

Answer:

The first step of Bao yu is to isolate the constant

Step-by-step explanation:

For using completing the square to solve the polynomial equation, the equation should be of the type $a^2 \pm 2ab +b^2$ that can also be written as:$(a\pm b)^2$

so, for the given equation: $x^2 -x -3 =0$

The first step should be to isolate the constant:

$x^2 -x = 3$

Then we have to make the middle term according to 2ab where a = 1x and b= (1/2) i.e, -2(1x)(1/2) = 1x

so,by adding (1/2)^2 on both sides of equation, we can complete the formula:

$x^2 -x = 3$

$x^2 -2(x)(\frac{1}{2}) + (\frac{1}{2})^2 = 3 (\frac{1}{2})^2$

Solving we get,

$(x- (\frac{1}{2}))^2 = 13/4$

So, the first step is to isolate the constant.

Answer 2

Answer:

The first step would be to add 3 on both sides of the equation.

Step-by-step explanation:

Given a polynomial or a quadratic equation, the first step in completing the square is to take the constant term to the other side of the equation. In the polynomial given the constant term is -3 which implies that we can add 3 on both sides of the equation in order to eliminate this constant term from the left hand side;

x^2 -x -3 +3 = 0 + 3

x^2 - x = 3