Question

5x^2+4x=39,998
I am solving for x

Answer 1

combine like terms

Answer 2

there are no like terms.

Answer 3

\[x=\frac{1}{5} \left(-2\pm 19 \sqrt{554}\right) \]

Answer 4

How did you get that? @robtobey

Answer 5

x=89.04137744914263,−89.84137744914264

Answer 6

How did you get that? @Dubba2000

Answer 7

Step 1: Subtract 39998 from both sides

Answer 8

Step 2: Use quadratic formula with a=5, b=4, c=-39998

Answer 9

x=
−b±sqrt(b2−4ac)
2a
x=
−(4)±sqrt((4)2−4(5)(−39998))
2(5)
x=
−4±sqrt(799976)
10
x=89.04137744914263,−89.84137744914264

Answer 10

Wait. my equation started out like this (2x+1)+x^2=40,000 and i got to 5x^2+4x=39,998 so idk what to do from there

Answer 11

i will just work the original question really quick then

Answer 12

okay thank you @Dubba2000

Answer 13

x=199 or x=−201

Answer 14

How? Can you explain? @Dubba2000

Answer 15

Simplify both sides of the equation

Answer 16

Subtract 40000 from both sides

Answer 17

Factor left side of equation

Answer 18

Set factors equal to 0

Answer 19

1.
x2+2x+1=40000
2.
x2+2x+1−40000=40000−40000
x2+2x−39999=0
3.
(x−199)(x+201)=0
4.
x−199=0 or x+201=0
x=199 or x=−201

Answer 20

(2x+1)^2+x^2=40,000

Answer 21

\[5 x^2+4 x-39998=0 \]Apply the binomial theorem to the LHS of the above equation.\[\frac{-b\pm \sqrt{b^2-4 \text{ac}}}{2 a} \]

Answer 22

hmm okay