Solve Using the Quadratic Formula 2y^2-3y-6=0

Problem

2*y2−3*y−6=0

Solution

1. Identify the coefficients a b and c from the quadratic equation in the form a*y2+b*y+c=0

a=2

b=−3

c=−6

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

y=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the values of a b and c into the formula.

y=(−(−3)±√(,(−3)2−4*(2)*(−6)))/(2*(2))

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

y=(3±√(,9+48))/4

y=(3±√(,57))/4

5. Separate the expression into the two possible solutions for y

y=(3+√(,57))/4

y=(3−√(,57))/4

Final Answer

y=(3±√(,57))/4

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