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Comment on x/2 and so on
Can X^2+4x+2 ve factored
Your instincts are correct;
Your instincts are correct; x² + 4x + 2 cannot be factored.
If I start solving the second
Be careful, there's only one
Be careful, there's only one true equation here.
x/2 = (3x-1)/(x+10) is an equation, since we're told the quantity on the left side is EQUAL TO the quantity on the right side.
On the other hand, the expression x² + 4x + 5 is not set equal to any value.
In fact, the value of x² + 4x + 5 depends on the value of x.
For example, if x = 3, then x² + 4x + 5 = 3² + 4(3) + 5 = 26
If x = 10, then x² + 4x + 5 = 10² + 4(10) + 5 = 145
If x = 1.5, then x² + 4x + 5 = 1.5² + 4(1.5) + 5 = 13.25
etc
So, in order to find the value of x² + 4x + 5, we must first determine the value of x.
To do so, we must solve the equation x/2 = (3x-1)/(x+10)
Does that help?
Cheers,
Brent
Hi Brent, I did something
The PRODUCT (x)(x) always
The PRODUCT (x)(x) always simplifies to be x²
However, if we ADD x + x, we get 2x
I should also note that you didn't get the correct answer.
If we take your (incorrect) equation, 2x+10=6x-2 and solve it, we get x = 3
The question asks us to find the value of x² + 4x + 5
When we replace x with 3, we get: 3² + 4(3) + 5, which evaluates to be 26 (which is not the correct answer)