SOLUTION: HELP...i got 2 different answers from two tutors...solve this quadratic inequality. 25x^+16<40x...My answer was x<4/5 one tutor agreed and one said there was no solution as

Question 5912: HELP...i got 2 different answers from two tutors...solve this quadratic inequality.
25x^+16<40x...My answer was x<4/5
one tutor agreed and one said there was no solution as you can not take the sqrt of zero...anybody out there that can knows for sure??
Thanks Caroline
Answer by Abbey(339) (Show Source): You can put this solution on YOUR website!
I answered you incorrectly. I read this as rather than
To solve this problem:
25x^2+16<40x
set this as an equal sign:
25x^2+16=40x
subtract 40x from both sides:
25x^2-40x+16=0
(5x-4)(5x-4)=0
x=4/5 You have two choices: your solution set can be from negative infinity to 4/5 or from 4/5 to infinity:
Test using the numbers 3/5 (if the solution set is less than 4/5 then this number will be included) Make a second test with the number 1 (if the solution set is from 4/5 to infinity, then the number 1 will be included in the set):
If we put 1 back into the equation:
25(1)^2+16<40(1)
25(1)+16<40
41<40 THIS IS NOT A TRUE STATEMENT, SO THE SOLUTION SET IS NOT GREATER THAN 4/5.
25(3/5)^2+16<40(3/5)
25(9/25)+16<24
9+16<24
25<24. This is not a true statement so the solution set cannot be less than 4/5 either
so there is not a solution to this problem.
RELATED QUESTIONS
is this correct? solve this quadratic inequality 25x^2+16<40x x<5/4 Thanks... (answered by Abbey,FadelSalem)

I just cant solve this equation....... (answered by stanbon)

hi can you please help me solve this equation. it says use the rule y= 3x cubed - 10 to... (answered by glabow)

I am confused. Would someone please check this problem out and clarify the correct answer (answered by richwmiller,solver91311)

REPOST: I posted this last week and got 2 different answers from different tutors, so I'm (answered by Nate)

hello tutors: How would you solve the log base of 125^1/5...when I did it I got an answer (answered by Alan3354)

I have some problems I got wrong on my test. Please explain step by step what I should... (answered by stanbon,chitra)

(answered by Theo)
how do i get 2 answers when solving quadratic equations? my teacher said i was going to... (answered by stanbon)