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3 years ago

Solving equations 10z+3z+5=2(z-3)

Mathematics

1 answer:

Nesterboy [21]3 years ago

5 0

Answer: Use the PEMDAS rule

Step-by-step explanation: 0z+3z+5=2(z-3)=

z= -1

you need to do the z numbers all together and the normal numbers together then subtract them to get -1

I hope that I help you

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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

Solution:

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)

Let us determine the nature of roots:

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

Mr. Martin's math test, which is worth 100 points, has 35

AlekseyPX

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Further explanation:

The given system is a system of linear equations in two variables.

We will use the subsitution method to solve the system

Given equations are:

$x+y=35\\5x+2y=100$

From equation no 1:

$x+y=35\\x=35-y$

Putting x=35-y in second equation

$5x+2y=100\\5(35-y)+2y=100\\175-5y+2y=100\\-3y=100-175\\-3y=-75\\\frac{-3y}{-3}=\frac{-75}{-3}\\y=25\\Putting y=25 in first equation\\x+25=35\\x= 35-25\\x=10$

Hence,

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Keywords: Linear Equations, Substitution method

Learn more about substitution method at:

#LearnwithBrainly

3 0

3 years ago

Read 2 more answers

Your friend asks you to bring ice cream to his party. There are several brands of ice cream, each with a different size and pric

Usimov [2.4K]

Z=x/you that is your formula

3 0

3 years ago

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Solve the following question

Anna11 [10]

Answer:

they are 16 and 4

Step-by-step explanation:

We can call the numbers x and y and we can write:

x - y = 12

x + y = 20

Adding these equations gives us 2x = 32 which means x = 16 and substituting this value into the first equation gives us y = 4.

7 0

3 years ago

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If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

Alisiya [41]

The answer is 2(–4y + 13) – 3y = –29

Step 1: Express x from the second equation
Step 2: Substitute x into the first equation:

The system of equations is:
2x – 3y = –29
x + 4y = 13

Step 1:
The second equation is: x + 4y = 13
Rearrange it to get x: x = - 4y + 13

Step 2:
The first equation is: 2x – 3y = –29
The second equation is: x = - 4y + 13
Substitute x from the second equation into the first one:
2(-4y + 13) - 3y = -29

Therefore, the second choice is correct.

5 0

4 years ago