**SOLUTION Find the constant term to make x^2-4x a perfect**

But the third term of the binomial formula does not show up in our equation; we make it show up by force by adding 1 to both sides of our equation: This trick is called "completing the square"! Now we use the binomial formula to simplify the left side of our equation (also adding 7+1=8):... very easily if we notice that the expression on the left is a perfect-square trinomial. Factoring, we have (x 21) 5 so x 1 or x 1 The solutions for the original equation are then and It is true that every quadratic equation can be written in the form above (with a perfect-square trinomial on the left). That is the basis for the completing-the-square methodfor solving quadratic equations. First

**How can you rewrite a perfect square as a exponent?**

In this lesson, we will discuss a very interesting Mathematical shortcut: How to check whether a number is a perfect square or not. There are some properties of perfect squares which can be used to test if a number is a perfect square or not.... 1/07/2011 · Convert the quadratic equation y= ax^2+bx+c into a form involving a perfect square. what do they mean by a perfect square???? i have the answer but dont understand what they are doing.

**CIRCLES and the ‘COMPLETING THE SQUARE’ TECHNIQUE**

The method of completing the square simply involves adding in a number make a given quadratic expression into a perfect square. Completing the square in an expression We begin by completing the square on the quadratic expression x 2 + 2 x − 6. roblox how to make a safe zone very easily if we notice that the expression on the left is a perfect-square trinomial. Factoring, we have (x 21) 5 so x 1 or x 1 The solutions for the original equation are then and It is true that every quadratic equation can be written in the form above (with a perfect-square trinomial on the left). That is the basis for the completing-the-square methodfor solving quadratic equations. First

**SOLUTION Find the constant term to make x^2-4x a perfect**

19/03/2012 · Best Answer: Your choice is d. 30. Take the square root of the first and last terms..... 3x and 5 Multiply those together..... 15x Double that answer and that is what your middle term needs to be if you are going after a perfect square trinomial. (Your given polynomial already has the "x" part so you are how to make a square area models to make sense of the terms in a perfect square trinomial and discover the relationship between coefficients of a quadratic equation in standard form. They will use this understanding to

## How long can it take?

### Solving Quadratics by Completing the Square The Quadratic

- completing the square CSUSM
- How can you rewrite a perfect square as a exponent?
- Solving Quadratics by Completing the Square The Quadratic
- CIRCLES and the ‘COMPLETING THE SQUARE’ TECHNIQUE

## How To Make An Equation A Perfect Square

This one is a little messier, because a fraction is required to make a perfect square. The constant term has to be (3/2) 2 = 9/4. Since it's actually 2 (or 8/4), we need to add 1/4 to make a perfect square:

- Completing the square also has the advantage of putting the equation in Standard Form: a(x Because the left side is a perfect square, we can take the square root both sides. We are able to square root x2 + 4x + 4 because . x. 2 + 4x + 4 = (x + 2) 2. The square root of the left side is. x+2 . while the . square root of the right side is ± 1. Step 8: Solve the equation for the two solutions
- 1) Is there a way one can tell whether a polynomial is a perfect square using a simple criterion on the coefficients? 2) Is there a way one can recover the square root by a simple algorithm? Thanks!
- Click here to see ALL problems on Quadratic Equations Question 127519 : Find the constant term to make x^2-4x a perfect square trinomial Answer by bucky(2189) ( Show Source ):
- Steps to Solving Equations by Completing the Square. 1. Rewrite the equation in the form x 2 +bx = c. 2. Add to both sides the term needed to complete the square. 3. Factor the perfect square trinomial. 4. Solve the resulting equation by using the square root property. Finding the Term Needed to Complete the Square If x 2 + bx is a binomial, then adding will result in a perfect square