alyssahern510 alyssahern510
  • 22-03-2020
  • Mathematics
contestada

√3x+1=x+1 how to do you solve this equation using step by step

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 31-03-2020

Answer:

The solutions are x=0 and x=1

Step-by-step explanation:

Assuming your equation is

[tex] \sqrt{3x + 1} = x + 1[/tex]

Square both sides to get:

[tex]3x + 1 = ( {x + 1)}^{2} [/tex]

Expand the RHS,

[tex]3x + 1 = {x}^{2} + 2x + 1[/tex]

Rewrite in standard quadratic form:

[tex] {x}^{2} + 2x - 3x + 1 - 1 = 0[/tex]

[tex] {x}^{2} - x = 0[/tex]

[tex]x(x - 1) = 0[/tex]

x=0 or x=1

Answer Link

Otras preguntas

125 thousandths = 1 tenth _______________ thousandths
THE 3 STOOGES ARE ASKED WHO IS THE SMARTEST. TWO OF THEM ARE TRUTHFUL AND ONE IS A LIAR. LARRY SAYS CURLY IS THE SMARTEST, MOE SAYS LARRY IS THE SMARTEST AND CU
Can there be more than one point of intersection between the graphs of two linear equations?
What was Ramses the second leadership style
I am trying to get the intersection of 8-16-24-32 and16-32-48
4x+5y=20 write this equation in slope intercept form
What two mixed numbers have a sum of 3
Can there be more than one point of intersection between the graphs of two linear equations?
What is the answer to 2c-5=c+4
Brand A scooter has a top speed that goes 2 miles per hour faster than Brand B. if after hours, Brand A scooter traveled 24 miles, at what rate did Brand B scoo