Question

Solve the following system of equations and show all work.

y = x2 + 3
y = x + 5

Answer 1

@Hero

Answer 2

@kropot72

Answer 3

@dan815

Answer 4

I think the easiest way is to equate the x part to each other (since y = y), bring all the terms to one side, and solve the quadratic equation.

Answer 5

x + 5 = x^2 + 3

Answer 6

ok that makes sense, but now what?

Answer 7

Take all the terms to the right side, so the left side becomes 0.

Answer 8

x+5-x^2-3=0 ?

Answer 9

Yeah, like that. Although, it might've been easier to put the left part on the right side, so you won't have a negative x^2 term. But it makes no difference. If you multiply both sides by -1, you'll get the nicer form. Do that, and simplify.

Answer 10

wait I'm confused, can you show me?

Answer 11

oh x^2+3-x+5 =0 ???

Answer 12

0 = x^2 + 3 - x - 5

Answer 13

X and 5 are both positive on the left side, so when you subtract it, it'll be negative on the right side.

Answer 14

ok got it, no combine 3 and -5 ?

Answer 15

*now

Answer 16

Exactly! Finally, solve the quadratic equation.

Answer 17

available to help with one more?

Answer 18

I can't find now unfortunately. I'm sorry :c But good luck!

Answer 19

right now*

Answer 20

ok

Answer 21

wait can you show me the equation real quick with 3 and -5 combined?

Answer 22

@iPwnBunnies

Answer 23

nevermind sorry