Solve Using the Quadratic Formula x^2+100=0

Problem

x2+100=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=100

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

3. Substitute the values into the formula:

x=(−0±√(,0−4*(1)*(100)))/(2*(1))

4. Simplify the expression under the square root:

x=(±√(,−400))/2

5. Evaluate the square root of the negative number using the imaginary unit i where √(,−400)=20*i

x=(±20*i)/2

6. Divide to find the final solutions:

x=±10*i

Final Answer

x=±10*i

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