Solve Using the Quadratic Formula x^2-5=0

Problem

x2−5=0

Solution

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

a=1

b=0

c=−5

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)*(−5)))/(2*(1))

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

x=(±√(,20))/2

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

x=(±√(,4⋅5))/2

x=(±2√(,5))/2

6. Divide by the denominator to find the final solutions.

x=±√(,5)

Final Answer

x=±√(,5)

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