Solve Using the Quadratic Formula x^2-25=0

Problem

x2−25=0

Solution

1. Identify the coefficients for the quadratic equation in the form a*x2+b*x+c=0 where a=1 b=0 and c=−25

2. Apply the formula by substituting these values into the quadratic formula x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the values into the expression:

x=(−0±√(,0−4*(1)*(−25)))/(2*(1))

4. Simplify the radicand (the expression inside the square root):

x=(±√(,100))/2

5. Evaluate the square root:

x=(±10)/2

6. Solve for both possible values of x

x=5,x=−5

Final Answer

x=±5

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