drashti18g
drashti18g drashti18g
  • 20-01-2018
  • Mathematics
contestada

For what values of j does the equation (2x+7)(x-5)=-43+jx have exactly one solution

Respuesta :

tynollette tynollette
  • 20-01-2018
expand and rearrange the terms:
2x²-10x+7x-35=-43+jx
2x²-(3+j)x+8=0
x²-[(3+j)/2]x+4=0
for the equation to have exactly one solution, it has to be a square. Recall that (a-b)²=a²-2ab+b². In this case, a=x, b=2, 2ab=2*x*2=4x
so (3+j)/2=4
3+j=8
j=5
Answer Link

Otras preguntas

How can you represent the system of inequalities with a matrix? 11x-12y=7 5x+12y=-7
The Virginia Plan proposed a system of representation in the national legislature that was based upon
this is a pretty hard question. can someone help out? Correctly match the following vocabulary words with their definitions: 1. _____. the phase change of a sub
What is the value of h in this equation? h = ________
what was the most likely reason that healthy first and second class passangers were admitted to the us without being proccesed at ellis while those in strrrage
What's the intercepts of the line
26% of college students live in campus housing. a random sample of 15 college students is selected. find the probability that 10 or more students will live in
points L and M are added to the coordinate plane. The slope of JK is equal to the slope LM. Describe two ways the lines could be related.
The half life of a certain radioactive element is 800 years. How old is an object if only 12.5% of radioactive atoms in it remains?
order the fractions from LEAST to GREATEST. 1/2, 2/3, 1/4, 5/6