Ask your own question, for FREE!
Mathematics 12 Online
OpenStudy (ammarah):

y=-(x-1)(x+4)

OpenStudy (ammarah):

@ganeshie8

ganeshie8 (ganeshie8):

put \(\large x = -\frac{3}{2}\)

ganeshie8 (ganeshie8):

\(\large y=-(x-1)(x+4)\) \(\large y=-(-\frac{3}{2}-1)(-\frac{3}{2}+4)\)

OpenStudy (ammarah):

ok this exactly the part where im stuck attt

ganeshie8 (ganeshie8):

i hate negatives, so i factor out -1 from first bracs so that it cancels out wid outer -

ganeshie8 (ganeshie8):

\(\large y=-(x-1)(x+4)\) \(\large y=-(-\frac{3}{2}-1)(-\frac{3}{2}+4)\) \(\large y=--1(\frac{3}{2}+1)(-\frac{3}{2}+4)\)

ganeshie8 (ganeshie8):

\(\large y=-(x-1)(x+4)\) \(\large y=-(-\frac{3}{2}-1)(-\frac{3}{2}+4)\) \(\large y=--1(\frac{3}{2}+1)(-\frac{3}{2}+4)\) \(\large y=(\frac{3}{2}+1)(-\frac{3}{2}+4)\)

ganeshie8 (ganeshie8):

fine so far ? :)

OpenStudy (ammarah):

yes

ganeshie8 (ganeshie8):

Next, i see that I am dealing wid fractions. so i better make denominators common, so i can add them

ganeshie8 (ganeshie8):

\(\large y=-(x-1)(x+4)\) \(\large y=-(-\frac{3}{2}-1)(-\frac{3}{2}+4)\) \(\large y=--1(\frac{3}{2}+1)(-\frac{3}{2}+4)\) \(\large y=(\frac{3}{2}+1)(-\frac{3}{2}+4)\) \(\large y=(\frac{3}{2}+1 \times \frac{2}{2})(-\frac{3}{2}+4 \times \frac{2}{2})\)

ganeshie8 (ganeshie8):

\(\large y=-(x-1)(x+4)\) \(\large y=-(-\frac{3}{2}-1)(-\frac{3}{2}+4)\) \(\large y=--1(\frac{3}{2}+1)(-\frac{3}{2}+4)\) \(\large y=(\frac{3}{2}+1)(-\frac{3}{2}+4)\) \(\large y=(\frac{3}{2}+1 \times \frac{2}{2})(-\frac{3}{2}+4 \times \frac{2}{2})\) \(\large y=(\frac{3}{2}+\frac{2}{2})(-\frac{3}{2}+\frac{8}{2})\)

ganeshie8 (ganeshie8):

Now that denominators are common. I can add the tops

ganeshie8 (ganeshie8):

\(\large y=-(x-1)(x+4)\) \(\large y=-(-\frac{3}{2}-1)(-\frac{3}{2}+4)\) \(\large y=--1(\frac{3}{2}+1)(-\frac{3}{2}+4)\) \(\large y=(\frac{3}{2}+1)(-\frac{3}{2}+4)\) \(\large y=(\frac{3}{2}+1 \times \frac{2}{2})(-\frac{3}{2}+4 \times \frac{2}{2})\) \(\large y=(\frac{3}{2}+\frac{2}{2})(-\frac{3}{2}+\frac{8}{2})\) \(\large y=(\frac{3+2}{2})(\frac{-3+8}{2})\)

ganeshie8 (ganeshie8):

simplify

OpenStudy (ammarah):

so its 5/2*5/2

ganeshie8 (ganeshie8):

\(\large y=-(x-1)(x+4)\) \(\large y=-(-\frac{3}{2}-1)(-\frac{3}{2}+4)\) \(\large y=--1(\frac{3}{2}+1)(-\frac{3}{2}+4)\) \(\large y=(\frac{3}{2}+1)(-\frac{3}{2}+4)\) \(\large y=(\frac{3}{2}+1 \times \frac{2}{2})(-\frac{3}{2}+4 \times \frac{2}{2})\) \(\large y=(\frac{3}{2}+\frac{2}{2})(-\frac{3}{2}+\frac{8}{2})\) \(\large y=(\frac{3+2}{2})(\frac{-3+8}{2})\) \(\large y=(\frac{5}{2})(\frac{5}{2})\)

ganeshie8 (ganeshie8):

yes,

OpenStudy (ammarah):

25/2

ganeshie8 (ganeshie8):

\(\large y=-(x-1)(x+4)\) \(\large y=-(-\frac{3}{2}-1)(-\frac{3}{2}+4)\) \(\large y=--1(\frac{3}{2}+1)(-\frac{3}{2}+4)\) \(\large y=(\frac{3}{2}+1)(-\frac{3}{2}+4)\) \(\large y=(\frac{3}{2}+1 \times \frac{2}{2})(-\frac{3}{2}+4 \times \frac{2}{2})\) \(\large y=(\frac{3}{2}+\frac{2}{2})(-\frac{3}{2}+\frac{8}{2})\) \(\large y=(\frac{3+2}{2})(\frac{-3+8}{2})\) \(\large y=(\frac{5}{2})(\frac{5}{2})\) \(\large y=\frac{25}{4}\)

OpenStudy (ammarah):

oh yeahhh

ganeshie8 (ganeshie8):

when u multiply two fractions, u multiply tops together u multiply bottoms together

OpenStudy (ammarah):

yes

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!