Solve Using the Quadratic Formula x^2-3x-3=0

Problem

x2−3*x−3=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=−3

c=−3

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 formula.

x=(−(−3)±√(,(−3)2−4*(1)*(−3)))/(2*(1))

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

x=(3±√(,9+12))/2

x=(3±√(,21))/2

5. Write the two separate solutions for x

x=(3+√(,21))/2

x=(3−√(,21))/2

Final Answer

x=(3±√(,21))/2

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