Solve for x x^2-2x-4=0

Problem

x2−2*x−4=0

Solution

1. Identify the coefficients of the quadratic equation in the form a*x2+b*x+c=0 where a=1 b=−2 and c=−4

2. Apply the quadratic formula which is given by x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the values into the formula:

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

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

x=(2±√(,4+16))/2

x=(2±√(,20))/2

5. Simplify the radical by factoring out the largest square:

x=(2±2√(,5))/2

6. Divide both terms in the numerator by the denominator:

x=1±√(,5)

Final Answer

x=1±√(,5)

Want more problems? Check here!