shyshy0412 shyshy0412
  • 15-11-2021
  • Mathematics
contestada

Solve the equation √7x-6=x-2. Identify any extraneous solutions. Show your work

Respuesta :

lunathemoonchild13
lunathemoonchild13 lunathemoonchild13
  • 15-11-2021
√7x-6=x-2
(√7x-6)^2=(x-2)^2
7x - 6 = x^2 - 4x + 4
x^2 - 11x + 10
(x - 1)(x - 10) = 0

x = 1 and x = 10

√7(1)-6 = 1-2 is false, so 1 is an extraneous solution

√7(10)-6 = 10-2 is true, so it is a solution.
Answer Link

Otras preguntas

what is 2x + 27 = -3 (x+5) + 7​
A defensive soccer player is having trouble reacting quickly to the movements of the opposing player. How can the soccer player adjust her base of support to im
On November 10 of the current year, Flores Mills sold carpet to a customer for $8,000 with credit terms 2/10, n/30. Flores uses the gross method of accountin g
Click on the supporting detail that correctly explains what happens during reduction firing. Answer:the third one
The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at one point (k+2,2k), what is the value of k?​
A water hose discharges water at a rate of 45 gallons per minute
what is the connection between mitosis and cancer
Effective Annual Rate A loan is offered with monthly payments and a 8 percent APR. What's the loan's effective annual rate (EAR)?
Marissa is purchasing holiday hams and turkeys for her employees. If she buys 15 hams and 10 turkeys, her total cost will be $719.75. If she buys 17 hams and 8
The density D of an object is the quotient of its mass m and its volume v