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2 years ago

What is the solution to 89+k=-42

Mathematics

2 answers:

fiasKO [112]2 years ago

6 0

Subtract 89 from -42. k=-131

sineoko [7]2 years ago

4 0

89+k=-42

We simplify the equation to the form, which is simple to understand
89+k=-42

We move all terms containing k to the left and all other terms to the right.
+1k=-42-89

We simplify left and right side of the equation.
+1k=-131

We divide both sides of the equation by 1 to get k.
k=-131.

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lys-0071 [83]

$\displaystyle
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-------------------------------------------------------------

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

----------------------------------------------------

$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
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