SOLUTION: Solve p^2+4p-2=0

Algebra.Com
Question 132904: Solve

p^2+4p-2=0

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let's use the quadratic formula to solve for p:


Starting with the general quadratic



the general solution using the quadratic equation is:





So lets solve ( notice , , and )




Plug in a=1, b=4, and c=-2



Square 4 to get 16



Multiply to get



Combine like terms in the radicand (everything under the square root)



Simplify the square root (note: If you need help with simplifying the square root, check out this solver)



Multiply 2 and 1 to get 2

So now the expression breaks down into two parts

or


Now break up the fraction


or


Simplify


or


So these expressions approximate to

or


So our solutions are:
or

RELATED QUESTIONS

(p-2)^2=4p (answered by jim_thompson5910)
(p-2)2=4p (answered by Alan3354)
-4p-3=2+p (answered by lynnlo)
p^2+3/4p+1/4=0 (answered by persian52)
p^2-3p/p^2-4p+3 (answered by Earlsdon)
Solve by factoring:... (answered by Mathtut)
(p^2-4p-12)/p-6= (answered by Alan3354)
Solve 3(-5 + 4p)- (-(-2to2nd power))p= -5p(-3to0power -(-1)3power)-/-9/ {{{3*(-5 + 4p) (answered by mducky2)
Solve 3(-5 + 4p) - (-(-2 2nd power)) p = -5p(-3 0 power - (-1) 3 power)... (answered by stanbon)