body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Dashboard

McGraw Hill Integrated II, 2012 View details

5. Solving Quadratic Equations by Using the Quadratic Formula

Finish the assignment

Continue to next subchapter

Exercise 65 Page 139

To complete the square, make sure all the variable terms are on one side of the equation. Then, divide both sides of the equation by a so the coefficient of x^2 is 1.

5/2

Practice makes perfect

We want to solve the quadratic equation by completing the square. Note that all terms with x are on one side of the equation. To do so, we will start by rewriting the equation so all terms with x are on one side of the equation. 4x^2=20x - 25 ⇔ 4x^2 - 20x = - 25 Now let's divide each side by 4 so the coefficient of x^2 will be 1.

4x^2 - 20x = - 25

DivEqn

.LHS /4.=.RHS /4.

4x^2 - 20x/4=- 25/4

▼

Simplify left-hand side

WriteDiffFrac

Write as a difference of fractions

4x^2/4-20x/4=- 25/4

MovePartNumRight

a* b/c=a/c* b

4/4x^2-20/4x=- 25/4