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

Problem

x2−2*x=0

Solution

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

a=1

b=−2

c=0

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=(−(−2)±√(,(−2)2−4*(1)*(0)))/(2*(1))

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

x=(2±√(,4−0))/2

x=(2±√(,4))/2

5. Evaluate the square root and simplify the fraction.

x=(2±2)/2

6. Solve for the two possible values of x

x=(2+2)/2=4/2=2

x=(2−2)/2=0/2=0

Final Answer

x=0,2

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