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insens350 [35]
2 years ago
7

What is the value of u?Please help.​

Mathematics
2 answers:
Charra [1.4K]2 years ago
7 0

Answer:

60 degrees

Step-by-step explanation:

Triangle is 180 degrees.

It’s an equilateral triangle spall angles are the same. 180/3 = 60

60 degrees.

Y_Kistochka [10]2 years ago
5 0

u=60° as it is an equilateral triangle

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\large\displaystyle\text{$\begin{gathered}\sf \pmb{1) \  2x^3-7x^2+8x-3=0 } \end{gathered}$}

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  | 2  -7    8  -3

<u>1 |      2   -5   3</u>

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<u> 1 |      2     -3   </u>

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So the factorization is (x-1)² (2x-3)=0. So:

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\large\displaystyle\text{$\begin{gathered}\sf \pmb{2) \  x^3-x^2-4=0 } \end{gathered}$}

Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:

      |  1  -1  0  -4

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         1  2  2  0

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\large\displaystyle\text{$\begin{gathered}\sf \pmb{3) \  6x^3+7x^2-9x+2=0 } \end{gathered}$}

Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:

   | 6    7       9      2

<u>-2 |      -12    10     -2</u>

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So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:

         \bf{ x_{2, 3}&=\dfrac{5\pm \sqrt{(5)^2-4(6)(1)}}{2(6)}=\dfrac{5\pm \sqrt{25-24}}{12}=\dfrac{5\pm 1}{12} }}

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