Question

What are the solutions of 2x2 + 8x = –26?

Answer 1

do you know how to get X by it's self

Answer 2

You isolate it using division or subtraction, right?

Answer 3

right so do that and tell me what you get

Answer 4

do division

Answer 5

And divide both sides by 2, or 8. Which x are we trying to isolate?

Answer 6

I can give you a hint your outcome will be a fraction.

Answer 7

After dividing both sides? Or the final answer. Cause if you're saying its the final answer, you're wrong.

Answer 8

These are my answer choices: –2 ± 3i
–2 ± i
2 ± 6i
–3 ± 2i

Answer 9

my bad i was doing it a different way. Now let me try to find this way.

Answer 10

No worries. Could you help me work through it as well once you solve it? I learned this earlier but I kind of forgot and need some touching up on it.

Answer 11

lets do it one step at a time.
1. subtract (-26) from both sides. What would you get?

Answer 12

Also there is two way on solving this. Would you like to solve it by completing the square or solving it by using the quadratic formula.

Answer 13

2x2 + 8x + 26 = 0

Answer 14

Ill show you both ways you can do this.
-Completing the square:
1. divide both sides by 2
x^2+4x+13=0
2. subtract 13
x^2+4x=-13
3.add (4/2)^2 to both sides
x^2+4x+4=-9
4. Complete the left side by using the formula x^2+2ax+a^2=(x+a)^2
(x+2)^2=-9
5. for 2 f(x)=f(a) the solution are f(x)= sq.f(a),- sq. f(a)
x+2= sq. root of -9
then refine that to x+2=3i
subtract 2 from both sides
your answer would be x=-2+3i x= -2-3i
if you don't understand that i can show you using the quadratic formula too.

Answer 15

Here is the quadratic formula.