Question

Quiz: The Discriminant and Modeling Data 7:Solving Quadratic Equations

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Find the number of real number solutions for the equation. x2 - 10x + 25 = 0
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1
2
cannot be determined
100%

Answer 1

cannot be determined

Explanation:

i tried 1,0,2 dont work

Answer 2

For this case we must find the solution of the following quadratic equation:

`x ^ 2-10x + 25 = 0`

Where:

`a = 1\\b = -10\\c = 25`

Then, the solution is given by:

`x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}`

Substituting the values:

`x = \frac {- (- 10) \pm \sqrt {(- 10) ^ 2-4 (1) (25)}} {2 (1)}\\x = \frac {10 \pm \sqrt {100-100}} {2}\\x = \frac {10 \pm \sqrt {0}} {2}\\x = \frac {10} {2} = 5`

Thus, we have two equal real roots.

`x_ {1} = 5\\x_ {2} = 5`

Answer:

We have two equal real roots.