Solve Using the Quadratic Formula x^2-14x+49=0

Problem

x2−14*x+49=0

Solution

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

a=1

b=−14

c=49

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

x=(−(−14)±√(,(−14)2−4*(1)*(49)))/(2*(1))

3. Simplify the discriminant inside the square root.

x=(14±√(,196−196))/2

x=(14±√(,0))/2

4. Solve for x by simplifying the remaining expression.

x=(14±0)/2

x=14/2

x=7

Final Answer

x=7

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