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

Problem

x2+25=0

Solution

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

2. Apply the formula for the quadratic equation, which is x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the values into the formula:

x=(−0±√(,0−4*(1)*(25)))/(2*(1))

4. Simplify the expression inside the square root:

x=(±√(,−100))/2

5. Evaluate the square root of the negative number using the imaginary unit i where √(,−100)=10*i

x=(±10*i)/2

6. Divide to find the final solutions:

x=±5*i

Final Answer

x=±5*i

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