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

Problem

x2−2=0

Solution

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

a=1

b=0

c=−2

2. State the quadratic formula.

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)*(−2)))/(2*(1))

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

x=(±√(,8))/2

5. Simplify the radical by factoring out the perfect square.

x=(±2√(,2))/2

6. Divide to find the final values for x

x=±√(,2)

Final Answer

x=±√(,2)

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