A number is 16/15 less than its multiplicative inverse. Find the number.
Please answer this using the ff. methods:
Defining the variables;
Thought processes;
equation; and
final anwer.
You can use the ff. to solve this:
Square root property;
factoring;
completing the square; or
quadratic formula.
This is about PROBLEM SOLVING INVOLVING QUADRATIC FORMULA.
The variable is only ONE.
THANKS FOR ANSWERING!!!
2006-10-05 01:55:59 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Let the no. be a
a=(1/a)-(16/15)
= (15-16a)/15a
15a^2 = 15 - 16a
15a^2 + 16a -15 =0
now multiply the constant term with the coefficient of a^2, i.e
-225 and factorize it so that the sum of the factors is equal to 16, i.e. 25 and -9
then
15a^2 +25a - 16a -15 =0
5a(3a+5) - 3(3a+5) =0
(5a-3) (3a+5) =0
which yields
a= -5/3 or a=3/5
hope you learned.
2006-10-05 02:10:02 · answer #1 · answered by Anonymous · 1⤊ 0⤋
14
2006-10-05 01:57:41 · answer #2 · answered by Alfy 2 · 0⤊ 0⤋
0+-1
2006-10-05 01:57:54 · answer #3 · answered by latitude58_8 2 · 0⤊ 0⤋
I REALLY NEED HELP GUYS
--A number is 16/15 less than its multiplicative inverse. Find the number Using
-Methods to be used :
*Solving quadratic equation/function by: a. factoring
b. Quadratic formula
c. completing the square
-----
Need help .. i need to pass my project 2 days from now on, so it means today is Sunday so need to pass it on Thusday.. So PLEASE help me.. IM BEGGING YOU.. IT's the sake of my Grades :'(
2013-10-20 02:07:01 · answer #4 · answered by Yan'4RtYr 1 · 0⤊ 0⤋
x=1/x-16/15
x²=1-16x/15
x²+16x/15=1
x²+16x/15+64/225=289/225
(x+8/15)²=289/225
x+8/15=±17/15
x=-8/15±17/15
x=9/15 or x=-25/15
x=3/5 or x=-5/3
2006-10-05 02:02:35 · answer #5 · answered by Pascal 7 · 1⤊ 0⤋
If we did this for you,you wouldn't learn anything would you?
2006-10-05 01:57:28 · answer #6 · answered by Anonymous · 0⤊ 0⤋