Use the quadratic formula to solve 2y2 – 3y = 2. A. {½, 2} B. {½, –2} C. {–½, –2} D. {–½, 2}
Before the subtract the 2 so the the equation is = to 0 \[\huge 2y^2-3y-2\]
What are your a b c values?
Once you have those we can plug it into this equation AKA Quadratic Formula
\[\huge~x=\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\]
I barley started to learn this, do you think you can walk me through it, step by step?
\[\huge~ax^2+bx+c\] \[\huge~2y^2-3y-2=0\] Anything that is ^2 will be the A just tell the number ignore the y^2 then anything with a plain vairble will just be the b value in this case it is -3 A number alone is the C value which in this case is -2
Got it so far?
yes
@pooja195
Good now we plug it in
Step 1. Subtract 2 from both sides: \[2y^2−3y−2=2−2\] \[= 2y^2−3y−2=0\]
okay! @KendrickLamar2014
Step 2. Factor the Left side: \[(2y+1)(y−2)=0\]
\[\huge~x=\frac{ -(-3)\pm \sqrt{(-3)^2-4(2)(-2)} }{ 2(2) } \]
Step 3. Set the factors to equal 0: \[2y+1=0~ or ~y−2=0\]
@KendrickLamar2014 it says to use the quadratic formula not factoring
I know, but you can get the same answer.
They need to use the quadratic formula its the directions.
\[= y = -\frac{ 1 }{ 2 }~or~ y = 2\]
Or just give them the answer...... @ninowletonzalez06 are you allowed to use factoring?
Yah, I was just showing her that there are many ways to solve this equation
Or have u not learned it because the Quadratic formula comes before factoring @KendrickLamar2014
Well now i bet that the asker is confused .-.
a liitle, can you explain it in the easiest form!
do you HAVE to use the quadratic formula?
by what the question is asking yes!
are you still there?
Ok :) All i did here was plug in the values
LaTex isnt working i cant finish it .-.
\[\huge~x=\frac{ -(-3) \pm \sqrt{(-3)^2-4(2)(-2)} }{ 2(2)} \]
okay!:)
\[\huge~x=\frac{ 3 \pm \sqrt{(-3)^2-4(2)(-2)} }{ 2(2)} \] simplify whats in the square root but DO NOT square root it
|dw:1433005023557:dw|
Join our real-time social learning platform and learn together with your friends!