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

below.
x^2 - 5x + 25/4 = 0


HELP A BROTHA OUT

Use the quadratic formula to find the solution to the quadratic equation given below-example-1
User Katit
by
7.8k points

2 Answers

4 votes
X= 5/2 is the answer
User Butler
by
8.9k points
3 votes

Answer:

C.
x=(5)/(2)

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 + (25)/(4)  = 0

Where:


a=1\\b=-5\\c=(25)/(4)


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

This means that the equation has a unique solution.

Therefore, the right answer is C.

User Adam Diament
by
8.4k points