Quiz: The Discriminant and Modeling Data 7:Solving Quadratic EquationsesdayFind the number of real number solutions for the equation. x2 - 10x + 25 = 0ooO12cannot be determined100%

For this case we must find the solution of the following quadratic equation:[tex]x ^ 2-10x + 25 = 0[/tex]Where:[tex]a = 1\\b = -10\\c = 25[/tex]Then, the solution is given by:[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]Substituting the values:[tex]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[/tex]Thus, we have two equal real roots.[tex]x_ {1} = 5\\x_ {2} = 5[/tex]Answer:We have two equal real roots.