Solve Using the Quadratic Formula x^2-14=0

Problem

x2−14=0

Solution

1. Identify the coefficients for the quadratic equation in the form a*x2+b*x+c=0 Here, a=1 b=0 and c=−14

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

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−0±√(,0−4*(1)*(−14)))/(2*(1))

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

x=(±√(,56))/2

5. Simplify the radical by factoring out the largest perfect square. Since 56=4×14 then √(,56)=2√(,14)

x=(±2√(,14))/2

6. Divide the terms to find the final values for x

x=±√(,14)

Final Answer

x=±√(,14)

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