SOLUTION: z^2+5z-14=0

Question 106725: z^2+5z-14=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for z:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=1, b=5, and c=-14

Square 5 to get 25

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

Lets look at the first part:

Add the terms in the numerator

Divide

So one answer is

Now lets look at the second part:

Subtract the terms in the numerator

Divide

So another answer is

So our solutions are:

or

RELATED QUESTIONS
z^2+5z-14=0 (answered by jim_thompson5910)

solve by factoring... (answered by jim_thompson5910)

Solve:... (answered by acolunga3)

Find the roots of the quadratic equation: z^2 + 5z - 14 =... (answered by checkley71)

Please me solve this question {{{ z^2-5z-24=0... (answered by Fombitz)

13 Z +4 -Z +5Z... (answered by Alan3354)

5z^2-17z+14 (answered by jim_thompson5910)

5z/z-2 - 10/z+2 = 40/z^2... (answered by JBarnum,jsmallt9)

{{{system(3x+2y-3z=-2, 7x-2y+5z=-14,... (answered by Edwin McCravy)