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

Problem

x2−x=0

Solution

1. Identify the coefficients of the quadratic equation in the standard form a*x2+b*x+c=0 Here, a=1 b=−1 and 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=(−(−1)±√(,(−1)2−4*(1)*(0)))/(2*(1))

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

x=(1±√(,1−0))/2

5. Evaluate the square root and simplify the fraction.

x=(1±1)/2

6. Solve for the two possible values of x by calculating both the addition and subtraction cases.

x=(1+1)/2=1

x=(1−1)/2=0

Final Answer

x=0,1

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