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

Problem

x2−3*x=0

Solution

1. Identify the coefficients a b and c by comparing the equation to the standard form a*x2+b*x+c=0

a=1

b=−3

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=(−(−3)±√(,(−3)2−4*(1)*(0)))/(2*(1))

4. Simplify the expression inside the square root and the denominator.

x=(3±√(,9−0))/2

x=(3±√(,9))/2

x=(3±3)/2

5. Solve for the two possible values of x by evaluating the plus and minus cases.

(x_1)=(3+3)/2=6/2=3

(x_2)=(3−3)/2=0/2=0

Final Answer

x=0,3

Want more problems? Check here!