Solve Using the Quadratic Formula x^2-2x-35=0

Problem

x2−2*x−35=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=−2

c=−35

2. State the quadratic formula used to find the roots of the equation.

x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the identified values into the quadratic formula.

x=(−(−2)±√(,(−2)2−4*(1)*(−35)))/(2*(1))

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

x=(2±√(,4+140))/2

x=(2±√(,144))/2

5. Evaluate the square root and simplify the fraction.

x=(2±12)/2

6. Solve for the two possible values of x by calculating the plus and minus cases.

x=(2+12)/2=14/2=7

x=(2−12)/2=(−10)/2=−5

Final Answer

x=7,−5

Want more problems? Check here!