gingereverstoone1
gingereverstoone1 gingereverstoone1
  • 20-08-2020
  • Mathematics
contestada

consider 8x^2-48x=-104 factor the trinomial and simplify

(x+_)^2=_​

Respuesta :

mirai123
mirai123 mirai123
  • 20-08-2020

Answer:

[tex](x-3-2i)(x-3+2i)[/tex]

Steps:

[tex]8x^2-48x=-104[/tex]

[tex]8x^2-48x+104=0[/tex]

Divide both sides by 8

[tex]x^2-6x+13=0[/tex]

But we can't factor it.

Using the Quadratic Formula to calculate the roots:

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-(-48)\pm \sqrt{(-48)^2-4\cdot 8\cdot 104}}{2\cdot 8}$[/tex]

[tex]$x=\frac{48\pm32i}{16}$[/tex]

[tex]x_1=3+2i\\x_2=3-2i[/tex]

The answer might be

[tex](x-(3+2i))(x-(3-2i))[/tex]

[tex](x-3-2i)(x-3+2i)[/tex]

Answer Link

Otras preguntas

What is the point that lies on a graph for 10y=3x-11. Is it A (2,-.5) B (4,1) C (6,16.3). Or D (8,23)?
Capital resources include?
Glucose is a simple sugar made up of carbon, hydrogen, and oxygen. What kind of molecule is glucose?
What value of m will make 4x-7y=5 and 9x+my=3 parallel?
The two-word system for naming organisms is called
State how an electron microscope differs from a light microscope?
Find the area of a parallelogram: base 5.2 cm, height 2.3 cm. 10.6 cm² 12.96 cm² 5.98 cm² 11.96 cm² I think its the last option is that right?
Which African-American leader believed that blacks should demand full and immediate equality?
What is the spinning Earth and the suns heat generate
If a number increases from 47 to 70.5 what is the rate of increase?