Solve Using the Quadratic Formula x^2-16x+64=0

Problem

x2−16*x+64=0

Solution

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

a=1

b=−16

c=64

2. State the quadratic formula used to find the roots of the equation.

x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the values of a b and c into the quadratic formula.

x=(−(−16)±√(,(−16)2−4*(1)*(64)))/(2*(1))

4. Simplify the expression inside the square root, which is the discriminant.

x=(16±√(,256−256))/2

x=(16±√(,0))/2

5. Calculate the final value for x since the square root of zero results in a single real root.

x=16/2

x=8

Final Answer

x2−16*x+64=0⇒x=8

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