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antiseptic1488 [7]
3 years ago
14

Question 2

Mathematics
1 answer:
Masteriza [31]3 years ago
6 0
1.1, 0.10299, 0.1038, 0.9 im pretty sure
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What are the solutions of x^2-2x+5=0
sweet [91]

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

We have to find the roots of the given quadratic equation

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

b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16

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}

On solving we get,

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

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

x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}

we know that square root of -1 is "i" which is a complex number

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

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0
3 years ago
ABCD is a quadrilateral. P is a point. P is closer to C than to D. P is also closer tothe line AB than the line AD. Find and sha
babymother [125]

Answer:

APBCD

Step-by-step explanation:

Because this make sance

4 0
3 years ago
Factorise completely;<br>y(ay-x)+x(y-ax)​
Kay [80]

Answer:

ay2 - xy + xy - ax2

ay2- ax2

5 0
3 years ago
Must m, in the equation y=mx+b=, always be a positive number?
Nadya [2.5K]

Of course not. 

If the line rises higher as it goes from left to right,
then its slope ( 'm' ) is positive.

If it sinks lower as it goes from left to right,
then its slope ( 'm' ) is negative.

8 0
3 years ago
Read 2 more answers
I just learned this today and it’s a little confusing , is there anyone that could explain how to do these problems for me ?
evablogger [386]

Step-by-step explanation:

I'll do the first problem as an example.

∠P and ∠H both have one mark.  That means they're congruent.

∠T and ∠G both have two marks.  So they're congruent.

∠W and ∠D both have three marks.  So they're congruent.

So we can write a congruence statement:

ΔPTW ≅ ΔHGD

We can write more congruence statements by rearranging the letter, provided that corresponding pairs have the same position (P is in the same place as H, etc.).  For example:

ΔWPT ≅ ΔDHG

ΔTWP ≅ ΔGDH

3 0
3 years ago
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