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bagirrra123 [75]
1 year ago
10

Solve algebraically for all x values

Mathematics
2 answers:
den301095 [7]1 year ago
6 0
X= 5
Simplify the equation

x=4=36-12x + X^2
Move the expression to the left
x-4-36+12x-x^2=0
Collect like terms
Calculate
13x-40-x^2=0
Reorder the terms

-x^2+13x-40 = 0
Change the signs
-x^2+13x+40=0
Rewrite the expression
x^2-5x-8×+40=0
Factor the expressions
x•( x-5)-8(x-5 )=0
Factor the expression
(x-5)•(x-8)=0
Separate into possible cases
x-5=0
x-8=0
Solve the equations
x=5
x=8
Check the solutions
6=6
10=6
x=5 is a solution
x=8 is not a solution
Delicious77 [7]1 year ago
4 0
<h2><u>Radical Equations</u></h2>

<h3>Solve algebraically for all x values</h3>

√(x - 4) + x = 6

To solve for x, make sure to remove first the radical sign before simplifying. To remove the radical sign (since it is square root) raise each side of the equation with an exponent of 2.

  • √(x - 4)² + x = 6
  • x - 4 + x = 6

Then start simplifying.

  • x - 4 + x = 6
  • x + x - 4 = 6
  • 2x = 10
  • x = 5

<u>Answer:</u>

  • The value of x is <u>5</u>.

Wxndy~~

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2x + 6y = 14y - 19x^2 + 12 is a non-linear equation

Step-by-step explanation:

Lets define a linear equation first.

A linear equation is an equation in which there is no variable with exponent greater than 1 or the degree of the equation is 1.

So,

<u>x + 12 = -8x + 10 - 2y</u>

The equation is a linear equation because the degree of the equation is 1.

<u>x = 8x + 19 - 10y</u>

The equation is a linear equation because the degree of the equation is 1.

<u>2x + 6y = 14y - 19x^2 + 12</u>

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<u>2x + 13y + 14x - 7 = 16y - 3</u>

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Hence,

2x + 6y = 14y - 19x^2 + 12 is a non-linear equation

Keywords: Linear, quadratic

Learn more about equations at:

  • brainly.com/question/5102020
  • brainly.com/question/5147732

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O comprimento de um retângulo é 6x e sua largura é 5y. A) Escreva uma expressão algébrica que representa o perímetro desse retân
Kobotan [32]

Answer:

A) 12x + 10y

B) 118cm

Step-by-step explanation:

A) A fórmula para calcular o perímetro de um retângulo é dada como:

Perímetro de um retângulo = 2 (L + W)

= 2L + 2W

Onde

L = comprimento do retângulo

W = largura do retângulo

A) A pergunta nos diz que:

O comprimento de um retângulo é 6x e sua largura é 5y.

A expressão algébrica que representa o perímetro do retângulo =

Perímetro de um retângulo = 2 (L + W)

= 2L + 2W

L = 6x, W = 5y

= 2 (6x) + 2 (5y)

= 12x + 10y

A expressão algébrica que representa o perímetro do retângulo é

P = 12x + 10y

B) Se x = 4 cm e y = 7 cm, qual é o valor numérico desse perímetro.

P = 12x + 10y

x = 4cm

y = 7cm

Perímetro = 12 (4) + 10 (7)

Perímetro = 48cm + 70cm

Perímetro do retângulo = 118cm

Portanto, o valor numérico do perímetro é 118cm

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