Solve Using the Quadratic Formula x^2-10x=0

Problem

x2−10*x=0

Solution

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

a=1

b=−10

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=(−(−10)±√(,(−10)2−4*(1)*(0)))/(2*(1))

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

x=(10±√(,100−0))/2

x=(10±√(,100))/2

x=(10±10)/2

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

(x_1)=(10+10)/2=20/2=10

(x_2)=(10−10)/2=0/2=0

Final Answer

x=0,10

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