How do you use the quadratic formula to solve x2+4x−2=0?

1 Answer
smendyka
Jun 12, 2018

See a solution process below:

Explanation:

The quadratic formula states:

For ax2+bx+c=0, the values of x which are the solutions to the equation are given by:

x=−b±√b2−(4ac)2⋅a

Substituting:

1 for a

4 for b

−2 for c gives:

x=−4±√42−(4⋅1⋅−2)2⋅1

x=−4±√16−(−8)2

x=−4±√242

x=−4±√4⋅62

x=−4±(√4√6)2

x=−4±2√62

x=−42±2√62

x=−2±√6

x={(−2−√6),(−2+√6)}

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