Solve Using the Quadratic Formula x^2-16=0

Problem

x2−16=0

Solution

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

a=1

b=0

c=−16

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)*(−16)))/(2*(1))

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

x=(±√(,64))/2

5. Evaluate the square root and divide to find the two solutions.

x=(±8)/2

x=4,−4

Final Answer

x2−16=0⇒x=4,−4

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