Solve Using the Quadratic Formula x^2-121=0

Problem

x2−121=0

Solution

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

a=1

b=0

c=−121

2. Apply the quadratic formula to find the values of x

x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the values of a b and c into the formula.

x=(−0±√(,0−4*(1)*(−121)))/(2*(1))

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

x=(±√(,484))/2

5. Evaluate the square root of 484.

x=(±22)/2

6. Divide to find the two possible solutions for x

x=11

x=−11

Final Answer

x=±11

Want more problems? Check here!