Question

Solve the equations:

1. 2x^ +3x-2=0
2. 2x^-3x-9=0
3. 4x^-8x+3=0
4. 9x^-4=0

Answer 1

Youre missing the exponents...

Answer 2

@mathstudent55

Answer 3

^ means 2

Answer 4

squared....

Answer 5

Please write x^2 to mean an exponent of 2 like everyone does. Otherwise, it gets confusing.

Answer 6

Let's start with the first one.

Answer 7

ohk im sorry

Answer 8

\(2x^2 +3x-2=0\)

We need to factor the above.
You can try the guess method or the ac method.

Answer 9

ok ill tell u what i get for an answer

Answer 10

Since 2x^2 can only be the product of 2x and x, the guess method here would not be too long.

Answer 11

i got x=-2or 1/2

Answer 12

\(2x^2 +3x-2=0\)

\( = (2x~~~~~~)(x~~~~~~) \)

The numbers that need to go in the parentheses have to multiply to -2.
There are only two possibilities, -2 and 1 or -1 and 2.

Now we try to see which two numbers and in which position they will work.

Answer 13

You are correct.

Answer 14

for the second one i got x=-3/2 or 3

Answer 15

\( (2x - 1)(x + 2) \)
x = 1/2, or x = -2

Answer 16

Second one is correct.

Answer 17

ok i get number 3 i need help with 4

Answer 18

4. is the type of factoring that is called the "difference of two squares."

Here is the pattern for the factorization of the difference of two squares:

\( a^2 - b^2 = (a + b)(a - b) \)

Example:

Factor \(x^2 - 25\)
Solution: \(x^2 - 25 = x^2 - 5^2 = (x + 5)(x - 5)\)

Answer 19

Now look at your problem 4.
Is this the difference of two squares?
Is the first term, 9x^2, the square of something? Yes, it's the square of 3x.
Is the second term, 4, the square of something? Yes, it's the square of 2.

That means the problem can be written as \((3x)^2 - 2^2 \)
Now you can see that it factors as follows:
\(9x^2 - 4 = (3x)^2 - 2^2 =(3x + 2)(3x - 2) \)

Answer 20

okay i dont know how to do 6

Answer 21

I don't either because you only listed 4 problems above.

Answer 22

oh oops 9x^2 +11x+18=-10x+8

Answer 23

First, you need to bring all terms to the left side, combione like terms, and make the expression on the left equal zero.

Answer 24

\(9x^2 +11x+18=-10x+8\)

\(9x^2 +11x + 10x +18 - 8 = 0\)

\(9x^2 + 21x + 10 = 0\)