4 years ago

What values for a, b, and c make this equation true? (x – 1)(2x + 3) + (ax2 + bx + c) = 5x2 – 3x + 2

Mathematics

1 answer:

serious [3.7K]4 years ago

3 0

the answer is go f urself

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Write two polynomials whose sum is x to the second power and whose difference is 1

Alex777 [14]

Answer:

Therefore, the first polynomial is:

$Z=\frac{1}{2}x^2+\frac{1}{2}\\$

the second polynomial is:

$Y=\frac{1}{2}x^2-\frac{1}{2}\\$

Step-by-step explanation:

We assume that: Z is first polynomial and Y is second polynomial.

Therefore, we have

$Z+Y=x^2\\\\Z-Y=1\\\\\implies Z+Y+Z-Y=x^2+1\\\\2Z=x^2+1\\\\Z=\frac{1}{2}x^2+\frac{1}{2}\\$

now, we get

$\implies Z+Y-Z+Y=x^2-1\\\\2Y=x^2-1\\\\Y=\frac{1}{2}x^2 -\frac{1}{2}$

Therefore, the first polynomial is:

$Z=\frac{1}{2}x^2+\frac{1}{2}\\$

the second polynomial is:

$Y=\frac{1}{2}x^2-\frac{1}{2}\\$

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3 years ago

Solve the inequality and enter your solution as an inequality.<br><br> X-4<6

Alex777 [14]

Answer:

x < 10

Step-by-step explanation:

Given: x -4 < 6

Add four to both sides: x < 10

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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2 years ago