Top | Newest First | Oldest First
OK, if you're going to use the quadratic formula then...
2y^2 -10y -7 = 0
so
a = 2
b = -10
c = -7
replace the a,b and c values in the quadratic formule and you'll get the value of Y
Makes sense?
2y^2 -10y -7 = 0
so
a = 2
b = -10
c = -7
replace the a,b and c values in the quadratic formule and you'll get the value of Y
Makes sense?
View 2 more replies »
drymer · 56-60, M
@ImRileyTheDog To get the a, b and c values for the quadratic formula...
ImRileyTheDog · 22-25, F
@drymer But it already as an equal sign in the equation, you just get rid of it and throw it at the end then equal 0? I don't recall doing that for some reason.
SW-User
[b]2y^2 = 10y + 7
[/b]
This is a quadratic equation so you want to start by getting all the terms to one side so you have zero on the other...
[b]subtract 10y + 7 from both sides
2y^2 - 10y - 7 = 0[/b]
You can't factor this conveniently so you can either stick it into the quadratic formula or solve by completing the square...
[big]Completing the Square![/big]
First you want the coefficient of y^2 to be one...
[b]Divide both sides by 2
y^2 - 5y - 7/2 = 0[/b]
Now you want take half of the coefficient of y then square it and add and subtract it from the left side...
[b] Add and subtract (b/2)^2 = (5/2)^2 =25/4 from the left hand side
y^2 - 5y + (5/2)^2 - (5/2)^2 - 7/2 = 0
y^2 - 5y + (5/2)^2 - 25/4 - 7/2 = 0
y^2 - 5y + (5/2)^2 - 39/4 = 0[/b]
Now you can factor the first three term!!!!
[b](y - 5/2)^2 - 39/4 = 0[/b]
Now you want the squared thing to be on one side and everything else to the other...
[b]Add 39/4 to both sides
(y - 5/2)^2 = 39/4[/b]
Now you want to get rid of the square!
[b]take the square root of both sides
y - 5/2 = ±sqrt(39)/2[/b]
Now finally isolate y
[b]Add 5/2 to both sides
y = 5/2 ± sqrt(39)/2 [/b]
DONE!!!
[/b]
This is a quadratic equation so you want to start by getting all the terms to one side so you have zero on the other...
[b]subtract 10y + 7 from both sides
2y^2 - 10y - 7 = 0[/b]
You can't factor this conveniently so you can either stick it into the quadratic formula or solve by completing the square...
[big]Completing the Square![/big]
First you want the coefficient of y^2 to be one...
[b]Divide both sides by 2
y^2 - 5y - 7/2 = 0[/b]
Now you want take half of the coefficient of y then square it and add and subtract it from the left side...
[b] Add and subtract (b/2)^2 = (5/2)^2 =25/4 from the left hand side
y^2 - 5y + (5/2)^2 - (5/2)^2 - 7/2 = 0
y^2 - 5y + (5/2)^2 - 25/4 - 7/2 = 0
y^2 - 5y + (5/2)^2 - 39/4 = 0[/b]
Now you can factor the first three term!!!!
[b](y - 5/2)^2 - 39/4 = 0[/b]
Now you want the squared thing to be on one side and everything else to the other...
[b]Add 39/4 to both sides
(y - 5/2)^2 = 39/4[/b]
Now you want to get rid of the square!
[b]take the square root of both sides
y - 5/2 = ±sqrt(39)/2[/b]
Now finally isolate y
[b]Add 5/2 to both sides
y = 5/2 ± sqrt(39)/2 [/b]
DONE!!!
SW-User
@ImRileyTheDog subtract 10y + 7 from both sides
Madame · F
@ImRileyTheDog You're trying to isolate the 'y' variable from the other stuff. In doing so, it's going to shift the non 'y' stuff to one side.
ImRileyTheDog · 22-25, F
@SW-User OK YESS! I RECALL NOW! Geez I am still in high school and I couldn't recall that for some reason. Thank you! I thought I was going insane.
SW-User
[image deleted][image deleted]
drymer · 56-60, M
@ImRileyTheDog Ah youth... I wanted to go into the military (Air Force), but didn't (long story), it's one of my life regrets, although I may have ended up hating it, who knows...
ImRileyTheDog · 22-25, F
@SW-User @drymer I know people who do not want me to join but I want to and my parents support me. I will go to school after the Army because they will also pay for it. I have just always had an interest in the army and honestly cannot wait to enlist this summer.
drymer · 56-60, M
@ImRileyTheDog I totally understand, people either like the military or hate it, I understand both perspectives and I don't judge, but like you I always felt a rather strong affinity for military stuff... I'm a huge history buff and I'm fascinated by war history... I'm glad that nowadays the US military is volunteer, so no one is asked to do such a demanding job without really wanting to, I think it makes it way more efficient...
reflectingmonkey · 51-55, M
what's that thing between the y and the 2?
JoyfulSilence · 46-50, M
@flashywords No it is 2 * (y^2). You do not square the 2 out front.
SW-User
@reflectingmonkey 2y squared
JoyfulSilence · 46-50, M
@SW-User If you want to square 2y, it should be written as (2y)^2.
Typically exponentiation is evaluated first, so for 2 * y^2, the y would be squared, then the result multiplied by 2. This is how Excel handles it, for example. Yet when in doubt, include more parentheses.
Typically exponentiation is evaluated first, so for 2 * y^2, the y would be squared, then the result multiplied by 2. This is how Excel handles it, for example. Yet when in doubt, include more parentheses.
ImRileyTheDog · 22-25, F
Am I solving for Y?
xSharp · 31-35, M
@ImRileyTheDog why? lol your struggling with applied as it is
ImRileyTheDog · 22-25, F
@xSharp Because I want 4 years of math and I am honestly decent at math🙄
xSharp · 31-35, M
@ImRileyTheDog im taking gr 12 applied without gr 9 10 or 11 applied and im so far at 38% before the exam which is 30% of our total grade, i dont know if thats good or bad but i took it just to see if i could do it lol
SW-User
(2y-5)(2y+2) I don't know lol it's been so long
https://www.mathpapa.com/algebra-calculator.html
Byeluv · 22-25, F
(2y)(2y)=4+2y+2y+y^2
Y^2+4y+4=10y+7
Subtract 7 from both sides and get y^2+4y-3=10y
Subtract 10y and get y^2-6y-3
I could be wrong tho
Y^2+4y+4=10y+7
Subtract 7 from both sides and get y^2+4y-3=10y
Subtract 10y and get y^2-6y-3
I could be wrong tho
Mamapolo2016 · F
If you go to https://www.tiger-algebra.com/drill/-2y~2_10y-7=0/
It offers two solutions and shows the steps.
It offers two solutions and shows the steps.
iamnikki · 31-35, F
Glad math solving days are behind me... Sorry, did you need an answer? 😄
SW-User
But wait why I had a dream about this equation last night...🤔
SW-User
Put all the y's on one side. 2y^2-10y=7
The answer is orange.
YoJisda1 · F