Solve Using the Quadratic Formula 6x^2-7x-2=0

Problem

6*x2−7*x−2=0

Solution

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

a=6

b=−7

c=−2

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

x=(−(−7)±√(,(−7)2−4*(6)*(−2)))/(2*(6))

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

x=(7±√(,49+48))/12

x=(7±√(,97))/12

4. Separate the expression into the two possible solutions for x

x=(7+√(,97))/12

x=(7−√(,97))/12

Final Answer

x=(7±√(,97))/12

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