Solve Using the Quadratic Formula x^2-50=0

Problem

x2−50=0

Solution

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

a=1

b=0

c=−50

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

x=(−0±√(,0−4*(1)*(−50)))/(2*(1))

3. Simplify the expression inside the square root.

x=(±√(,200))/2

4. Simplify the radical by factoring out the largest perfect square from 200

x=(±√(,100⋅2))/2

x=(±10√(,2))/2

5. Divide the terms to find the final values of x

x=±5√(,2)

Final Answer

x=±5√(,2)

Want more problems? Check here!