Solve Using the Quadratic Formula x^2-3=0

Problem

x2−3=0

Solution

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

a=1

b=0

c=−3

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

x=(−0±√(,0−4*(1)*(−3)))/(2*(1))

3. Simplify the expression under the radical (the discriminant).

x=(±√(,0+12))/2

x=(±√(,12))/2

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

x=(±√(,4⋅3))/2

x=(±2√(,3))/2

5. Divide to find the final values of x

x=±√(,3)

Final Answer

x=±√(,3)

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