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Afina-wow [57]
3 years ago
5

Find the value of given expression

ula1" title=" \sqrt{213 \times 213} " alt=" \sqrt{213 \times 213} " align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Hatshy [7]3 years ago
7 0

Answer:

213 Answer ..............

julsineya [31]3 years ago
4 0

Answer:

√{213×213}=√213²=±213 is your answer

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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
Plz answer 100 points!!!!!
zlopas [31]

Answer:

3x + ( - 2 - 3) = 19 \\ 3x+(- 5) = 10 + 9 \\ (1 + 2)x + ( - 5) = 19

all values stand for 3x+(-5)=19

  • 3x-5=19=> 3x=24=> <u>x=8</u>.

Three step requires another step, so it is difficult than two step process.

no, their is no limit to the number of steps it take to solve an equation.

Every number can be described as a sum/difference of two or three numbers.

7 0
2 years ago
Find the volume of the complex figure below.
ikadub [295]
Multiply all the sides
4 0
3 years ago
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Maggie's brother is 4 years younger than four times her age. The sum of their ages is 26.
Gelneren [198K]

Answer:

Maggie is 6 years old

Step-by-step explanation:

M + B = 26

B = 26 - M

4M - 4 = B

4M - 4 = 26 - M

5M = 30

M = 6

Maggie is 6 years old

3 0
3 years ago
PLS HELP Leo is looking at two different savings plans. The first plan requires an initial deposit of $500 and grows at an annua
White raven [17]

Answer:

First and Second option choices

Step-by-step Explanation:

1st case:

Initial deposit (P) = 500

Annual interest rate (r) = 2.5%

Account balance after x years, y = P(1+r/100)×

y = 500(1+2.5/100)×

y = 500(1+0.025)×

y = 500(1.025)×

2nd case:

Initial deposit (P) = 400

Annual interest rate (r) = 2%

Account balance after x years, y = P(1+r/100)×

y = 400(1+2/100)×

y = 400(1+0.02)×

y = 400(1.02)×

8 0
2 years ago
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