14-05-2022
Mathematics

contestada

solve the equation by completing the square. x²+6x-4=0

Respuesta :

Аноним Аноним

14-05-2022

Answer:

x = √13 - 3

x = -√13 - 3

Step-by-step explanation:

Given :

x² + 6x - 4 = 0

Solving :

x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9]
(x + 3)² - 13 = 0 [Group the square term together]
(x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]
√(x + 3)² = √13 [Taking square root on both sides]
x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]
x = ±√13 - 3

Solutions :

x = √13 - 3
x = -√13 - 3

Answer Link

Otras preguntas

What does this piece of dialogue reveal about Zaroff’s character? He feels he is entitled to practice his cruel sport. He would never hunt another member of the

There is a set of 12 cards numbered 1 to 12. A card is chosen at random. Event A is choosing a number less than 6. Event B is choosing a number divisible by 3.

As early as 1963, president kennedy questioned the united states’ involvement in vietnam. Why did both the kennedy and johnson administrations opt to stay in vi

how do you solve this?

graphs of exponential functions

find the coefficient of x^5 in the expression ( 1 - 2x) ^6

Find the midpoint of the line segment joining (–4, –2) and (2, 8).

Ujarak has 100mL t of a strong toothpaste with a 1.1% concentration of sodium fluoride. They have a weaker toothpaste with a 0.3% concentration of sodium fluori

Help!!!! A system of inequalities is shown. Which system Is represented in the graph?

(08.07 HC) An expression is shown below: f(x) = 2x²-3x - 5 Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points) Part B: Is the ver