Solve Using the Quadratic Formula x^2-10x+9=0

Problem

x2−10*x+9=0

Solution

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

a=1

b=−10

c=9

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)*(9)))/(2*(1))

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

x=(10±√(,100−36))/2

x=(10±√(,64))/2

5. Evaluate the square root and simplify the fraction.

x=(10±8)/2

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

x=(10+8)/2=18/2=9

x=(10−8)/2=2/2=1

Final Answer

x=9,1

Want more problems? Check here!