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

Problem

x2−15=0

Solution

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

a=1

b=0

c=−15

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

x=(−0±√(,0−4*(1)*(−15)))/(2*(1))

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

x=(±√(,0+60))/2

x=(±√(,60))/2

4. Simplify the radical by factoring out the largest perfect square.

√(,60)=√(,4⋅15)=2√(,15)

x=(±2√(,15))/2

5. Divide by the denominator to find the final values of x

x=±√(,15)

Final Answer

x=±√(,15)

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