ashleymtzclavijo439 ashleymtzclavijo439
  • 23-05-2021
  • Mathematics
contestada

Solve x 2 - 4x - 7 = 0 by completing the square. What are the solutions?


A){2 +√11 , 2 - √11}

B){-2 +√11 , -2 - √11}

C){2 + √11, 2 +√11 }

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 24-05-2021

Answer:

        A) {2 +√11 , 2 - √11}

Step-by-step explanation:

[tex]x^2 - 4x-7=0\\\\\underline{x^2 - 2\cdot x\cdot2+2^2}-2^2-7 =0\\\\\big(x-2\big)^2-4-7=0\\\\ \big(x-2\big)^2=11\\\\ x-2=\pm\sqrt{11}\\\\ x=2\pm\sqrt{11}[/tex]

Answer Link

Otras preguntas

Which solution BEST completes the diagram below? A. The Federal Reserve Act was passed in 1913. B. The Civil Service Commission was established. C. The Clayt
A process stream contains 450 mol/s benzene and 375 mol/s toluene. Calculate the mole fraction of benzene in the process stream.
Find the volume in m3 of 52.6 lbm of iron:
Answer the following questions using words from your vocabulary list. Be careful with the spelling and accent marks so you'll get an accurate score. Include the
How does Rolf change
What is an adjective??[tex]7 \times 22 \geqslant 25 \\ [/tex]​
Liz has 6 times the number of books that Jon has. If Liz has 84 books, how many books does Jon have ?
Which of these is associated with bulimia nervosa?
The information-gathering activity of police officers that involves the direct questioning of suspects is called plain view. interrogation. certiorari. Miranda
When 3.00 moles of hydrogen molecules and 1.50 moles of oxygen molecules react, they form 3.00 moles of water according to the reaction below. How many grams of