SOLUTION: Solve the equation. Write the solutions in the form a+bi. x^2+10x+30=0

Question 188659This question is from textbook saxon algebra 2
: Solve the equation. Write the solutions in the form a+bi.
x^2+10x+30=0
This question is from textbook saxon algebra 2

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

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

Break up the fraction.

Reduce.

or Break up the expression.

So the answers are or

So the solutions are in the form where (for both solutions), for the first solution, and for the second solution.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the equation. Write the solutions in the form a+bi.
x^2+10x+30=0
-------
Quadratic formula:
x = [-10 +- sqrt(100 - 4*1*30)]/2
x = [-10 +- sqrt(-20)]/2
x = [-10 +- 2isqrt(5)]/2
x = [-5 +- isqrt(5)]
x = (-5 + isqrt(5)) or x = (-5 - isqrt(5))
============================================
Cheers,
Stan H.

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