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 Actual Graph of y = 1x2-1x+0 See lesson on Graphing x = 1, 0 (sometimes solutions may be close approximations of the actual solutions) Expression factored: 1x2-1x+0 = (x-1)(x+0) See lesson on Quadratic Formula

## Solution Explained

Equation: ` `

``` a = 1 b = -1 c = 0 ```

Discriminant: ```b2-4ac = 1 2+4*1*0 = 1```

Discriminant (1) is greater than zero. The equation has two solutions.

```

or

or

x1,2 = (1 ± 1) / 2*1
or

x1 = 2 / 2 = 1
x2 = 0 / 2 = 0

or

x1,2 = 1, 0

Equation factored:

(x-1)(x+0)

```
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Word Problem Example:

 The length of a hypotenuse of a right triangle is 2 feet more than the longer leg. The length of the longer leg is 7 feet more than the lenth of the shorter leg. Find the number of feet in length of each side of the right triangle.