Solve Using the Quadratic Formula x^2-11=0

Problem

x2−11=0

Solution

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

a=1

b=0

c=−11

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

x=(−0±√(,0−4*(1)*(−11)))/(2*(1))

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

x=(±√(,0+44))/2

x=(±√(,44))/2

4. Simplify the radical by factoring out the largest perfect square.

x=(±√(,4⋅11))/2

x=(±2√(,11))/2

5. Divide the numerator by the denominator to find the final values of x

x=±√(,11)

Final Answer

x=±√(,11)

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