Exercise 28 Page 574

To complete the square make sure all the variable terms are on one side of the equation. Then, calculate the value of ( b2 )^2.

x=1± sqrt(10)

Practice makes perfect

We want to solve the quadratic equation by completing the square. To do so, we will start by rewriting the equation so all terms with x are on one side of the equation. x^2-2x-1=8 ⇔ x^2-2x=9In a quadratic expression b is the linear coefficient. For the equation above, we have that b=- 2. Let's now calculate ( b2 )^2.

( b/2 )^2

Substitute

b= - 2

( - 2/2 )^2

CalcQuot

Calculate quotient

(- 1)^2

CalcPow

Calculate power

Next, we will add ( b2 )^2=1 to both sides of our equation. Then we will factor the trinomial on the left-hand side and solve the equation.

x^2-2x=9

AddEqn