Question

Use the quadratic formula to find the solution to the quadratic equation given

Answer 1

Answer:

C. $x=\frac{5}{2}$

Step-by-step explanation:

The quadratic formula is:

$x_{1,2}=\frac{-b\±\sqrt{b^{2}-4ac}}{2a}$

Where $a$ is the coefficient of the quadratic team. $b$ is the coefficient of the linear term, and $c$ is the independent term.

So, the given equation is:

$x^2 - 5x + \frac{25}{4} = 0$

Where:

$a=1\\b=-5\\c=\frac{25}{4}$

$x_{1,2}=\frac{-(-5)\±\sqrt{(-5)^{2}-4(1)(\frac{25}{4} )}}{2(1)}\\x_{1,2}=\frac{5\±\sqrt{25-25}}{2}\\x_{1,2}=\frac{5\±\sqrt{0}}{2}\\x_{1,2}=\frac{5}{2}$

This means that the equation has a unique solution.

Therefore, the right answer is C.

Answer 2

X= 5/2 is the answer