Question

a^2+2a-3=0

Answer 1

What are you trying to do with it solve it?

Answer 2

Use the quadratic formula.

Answer 3

^ if solving that

Answer 4

its solving quadratic equations by completing the square

Answer 5

Ok, I'll show it to you step by step.

Answer 6

ive got it to a^2 +2a +1 =4 if thats right

Answer 7

The first step is to move the constant term (the number) to the right side.
Add 3 to both sides. Leave a space on the left side where the number used to be.

Answer 8

Looks good to me.

Answer 9

Now you rewrite the left side as the square of a binomial.

Answer 10

(a+1)^2?

Answer 11

Yes.

Answer 12

kk thanks

Answer 13

So you have
(a + 1)^2 = 4

Answer 14

yeah and then yiu square root it and move the one?

Answer 15

Now you use the idea below:

\(x^2 = k ~~~\rightarrow ~~~x = \pm\sqrt{k}\)

Answer 16

right.

Answer 17

Yes, you do take the square root of both sides, but you get the square root of the left side equal the plus/minus square root of the right side.

\( (a + 1)^2 = 4\)

\(a + 1 = \pm 2\)

\(a + 1 = 2 ~~\lor~~ a + 1 = -2 \)

Now you solve each equation.

Answer 18

a=-2,-1

Answer 19

God job!

Answer 20

Thanks for the help.[=

Answer 21

You're welcome.