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SVETLANKA909090 [29]
2 years ago
6

Explain Step By Step how to solve the following equation by factoring: 3x^2+22x-45

Mathematics
1 answer:
Darya [45]2 years ago
8 0

\huge \sf \dag \: Answer  :

\rm 3 {x}^{2}  + 22x - 45

The values of a, b, and c are obtained, namely

  • a = 3, b = 22, c = -45

with the values of a, b, and c above we determine the value of x, then :

\longmapsto \sf x_{1,2}  =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}

\longmapsto \sf x_{1,2} =  \frac{ - 22 \pm \sqrt{ {22}^{2}  - 4(3)( - 45)} }{2(3)}

\longmapsto \sf x_{1,2} =  \frac{ - 22 \pm \sqrt{484 - 4( - 135)} }{6}

\longmapsto \sf x_{1,2} =  \frac{ - 22 \pm \sqrt[]{484 + 540} }{6}

\longmapsto \sf x_{1,2} =  \frac{ - 22 \pm \sqrt{1.024} }{6}

\longmapsto \sf x_{1,2}  =  \frac{ - 22 \pm32}{6}

with that we get the values of x, namely :

\longmapsto \rm x_{1}  =  \bf \frac{10}{6}  = 1 \frac{2}{3}

\longmapsto \sf x_{2} =  \bf - 9

Solution Set = {1⅔, -9}

-I Hope This Helps!

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Y=6x-11<br> -2x-3y=-7 gnjjj
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x=2 y=1

Step-by-step explanation:

Solve the equations by substituting y=6x-11 into -2x-3y=-7.

-2x-3(6x-11)=-7

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-20x+33=-7

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Need help on polynomials
kkurt [141]
Follow these steps and you should get your answer its not the same questions but it should help
The answer to the problem is as follows:

These two polynomials are 5x^2 + 3x + 5 and 3x^2 +2x + 2:

Subtracting the second expression from the first:

<span>5x^2 + 3x + 5
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7 0
3 years ago
1) What does the equation x = 4 represent in R^2? a) a circle.b) a plane.c) a line.d) a pointWhat does it represent in R^3? a) a
Sunny_sXe [5.5K]

Answer:

The equation x=4 represents in R^2 c) a line

The equation x=4 represents in R^3 a) a plane

The equation y+3x=2 represents in R^3 a) a plane

The equation z-4y=8 represents d) a plane

The pair of equations y=2,z=8 represents a) a line

Step-by-step explanation:

Let's start by studying each question :

1)

In R^2 , x=a with a ∈ IR is the equation of all vertical lines

In this case, the only free variable is the variable ''y''

R^2 has two dimensions (x and y) so if we set x=4 we will have only one free variable in R^2 (which is a line in R^2). Therefore, x=4 represents a line in R^2

Now, in R^3 we have three dimensions (x, y and z) so if we set x=4 we will have only two free variables (y and z) and x=4 will represent a plane (which have two dimensions) in R^3.

2) The equation y+3x=2 in R^3 has the free variable ''z'' and given that we select a value (for example for ''x'') the another value from the variable ''y'' is determined. Finally, we have the free variables ''z'' and ''x'', and the variable ''y'' restricted for our choice of the variable ''x''.

The equation y+3x=2 in R^3 (given that we have two free variables) represents a plane.

Using the same reasoning, the equation z-4y=8 represents a plane (given that it has two free variables : ''y'' and ''x'')

Finally, the pair of equations y=2,z=8 set values for ''y'' and ''z'' leading us ''x'' as the free variable. With only one free variable we will have a ''one dimensional'' geometric form. The one dimensional forms in R^3 are lines.

The final answer is a) a line.

5 0
2 years ago
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