Solve Using the Quadratic Formula x^2-49=0

Problem

x2−49=0

Solution

1. Identify the coefficients a b and c from the standard form a*x2+b*x+c=0

a=1

b=0

c=−49

2. Apply the quadratic formula x=(−b±√(,b2−4*a*c))/(2*a) by substituting the identified values.

x=(−0±√(,0−4*(1)*(−49)))/(2*(1))

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

x=(±√(,196))/2

4. Evaluate the square root of 196

x=(±14)/2

5. Solve for both possible values of x by dividing by 2

x=7

x=−7

Final Answer

x=7,−7

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