Solve Using the Quadratic Formula 3x^2-15=0

Problem

3*x2−15=0

Solution

1. Identify the coefficients for the quadratic equation in the form a*x2+b*x+c=0 Here, a=3 b=0 and c=−15

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

3. Substitute the values into the formula:

x=(−0±√(,0−4*(3)*(−15)))/(2*(3))

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

x=(±√(,180))/6

5. Simplify the radical by factoring out the largest perfect square:

x=(±√(,36⋅5))/6

x=(±6√(,5))/6

6. Divide to find the final values for x

x=±√(,5)

Final Answer

x=±√(,5)

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