Solve Using the Quadratic Formula x^2-17=0

Problem

x2−17=0

Solution

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

a=1

b=0

c=−17

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

x=(−0±√(,0−4*(1)*(−17)))/(2*(1))

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

x=(±√(,0+68))/2

x=(±√(,68))/2

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

x=(±√(,4⋅17))/2

x=(±2√(,17))/2

5. Divide to find the final values for x

x=±√(,17)

Final Answer

x=±√(,17)

Want more problems? Check here!