Solve Using the Quadratic Formula 3x^2-x-10=0

Problem

3*x2−x−10=0

Solution

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

a=3

b=−1

c=−10

2. Apply the formula for the quadratic equation, which is x=(−b±√(,b2−4*a*c))/(2*a)

x=(−(−1)±√(,(−1)2−4*(3)*(−10)))/(2*(3))

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

x=(1±√(,1−(−120)))/6

x=(1±√(,121))/6

4. Evaluate the square root and solve for the two possible values of x

x=(1±11)/6

5. Calculate the first solution using the plus sign.

x=(1+11)/6=12/6=2

6. Calculate the second solution using the minus sign.

x=(1−11)/6=(−10)/6=−5/3

Final Answer

x=2,−5/3

Want more problems? Check here!