Simplify:2(x2 + 5) − 3(x + 1) + 3

Mathematics

1 answer:

sesenic [268]3 years ago

3 0

Step-by-step explanation:

2x2 + 10 - 3x - 3 + 3

Solving like terms

2x2 - 3x + 10

Option B is the correct answer

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150

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Round 46 to the nearest ten, which in this case would be 50 because the last number is larger than a 5.

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schepotkina [342]

Answer:

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Step-by-step explanation:

Here's the solution using the quadratic formula:

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-24\pm\sqrt{24^2-4\cdot 4\cdot 20}}{2\cdot 4}\\\\=\dfrac{-24\pm\sqrt{576-320}}{8}=\dfrac{-24\pm\sqrt{256}}{8}\\\\=\dfrac{-24\pm 16}{8}=-3\pm 2=\{-5,-1\}$

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_____

There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.

Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.