Solve Using the Quadratic Formula x^2+1=0

Problem

x2+1=0

Solution

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

a=1

b=0

c=1

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

x=(−0±√(,0−4*(1)*(1)))/(2*(1))

3. Simplify the expression inside the square root (the discriminant).

x=(±√(,−4))/2

4. Evaluate the square root of the negative number using the imaginary unit i where √(,−1)=i

x=(±2*i)/2

5. Reduce the fraction to find the final values for x

x=±i

Final Answer

x=±i

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