Solve Using the Quadratic Formula x^2-2x-63=0

Problem

x2−2*x−63=0

Solution

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

a=1

b=−2

c=−63

2. State the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−(−2)±√(,(−2)2−4*(1)*(−63)))/(2*(1))

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

x=(2±√(,4+252))/2

x=(2±√(,256))/2

5. Evaluate the square root.

x=(2±16)/2

6. Solve for the two possible values of x

x=(2+16)/2=18/2=9

x=(2−16)/2=(−14)/2=−7

Final Answer

x=9,−7

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