Question

Solve using your choice of methods.

x² + 7x + 10 = 0

Answer 1

I would complete the square which is the same as factoring it out.

Answer 2

\[(x+a)(x+b)=0 \\ a+b=7 \\a*b=10\]

Where a and b are two numbers that when you add them together you will get 7 and if you multiply them together you will get 10

Answer 3

That is shown in the system of equation that I posted. You can solve the systems and see what a and b are.

Answer 4

can you tell me what a and b are?

Answer 5

(x+5)(x+2)

Answer 6

a=1,b=7,c=10

Answer 7

You really want to use the quadratic formula. I'm trying to show you a different way to solve this.

Answer 8

ok

Answer 9

show me a different way.

Answer 10

@sarah43 is in the right direction. Can you show jeletta1 how to do it?

Answer 11

ok. look at it like this

x² + 7x + 10 = 0

you have to find 2 numbers that when MULTIPLIED equal 10
the same 2 numbers should equal 7 when ADDED

so lets look at the factors of 10. 5*2=10! and 5+2=7!

so (x+5)(X+2) is the answer because when you open it up u will get x² + 7x + 10 = 0