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Leviafan [203]
3 years ago
7

It's a sunny afternoon in Chicago, and the Lincoln Park boathouse currently has 115 sailboats, 120 paddleboards, and 105 kayaks

rented out.
If 15 people rented both a kayak and a paddleboard, how many people are out on the water?

S
Mathematics
1 answer:
dybincka [34]3 years ago
6 0
15 kdkdkdndnjdjfjfbrjrjd
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What are the solutions of x^2-2x+5=0
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The solution of x^{2}-2 x+5=0 are 1 + 2i and 1 – 2i

<u>Solution:</u>

Given, equation is x^{2}-2 x+5=0

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Now, let us use the quadratic formula

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}  --- (1)

<em><u>Let us determine the nature of roots:</u></em>

Here in x^{2}-2 x+5=0 a = 1 ; b = -2 ; c = 5

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Since b^2 - 4ac < 0 , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}

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x=\frac{2 \pm \sqrt{4-20}}{2}

x=\frac{2 \pm \sqrt{-16}}{2}

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\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}

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