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QveST [7]
4 years ago
5

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

Mathematics
2 answers:
Svetllana [295]4 years ago
8 0

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.

AfilCa [17]4 years ago
7 0
X= 5/2 is the answer
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