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Mathematics 29 Online
OpenStudy (ayonnaleflore):

Solve (z+ 7)2 = 3.

rishavraj (rishavraj):

@Twaimz4life no direct answers plzz

rishavraj (rishavraj):

@ayonnaleflore wht do u think ,,,,??

OpenStudy (ayonnaleflore):

these are the answer choices thats why im kinda confused

rishavraj (rishavraj):

u see expand it (z + 7)^2 = z^2 + 49 + 14z

rishavraj (rishavraj):

@ayonnaleflore u can proceed now??

OpenStudy (ayonnaleflore):

ok so wouldn't you subtract 49 from both sides??

rishavraj (rishavraj):

solve it as quadratic equation ok? z^2 + 14z + 49 = 3 z^2 + 14z + 46 = 0 subtract 3 on both sides

OpenStudy (ayonnaleflore):

ok z^2+14z+46=0 im a little lost.....so i dont need to subract 46 from both sides do i ??

rishavraj (rishavraj):

lol nah ...do u need to solve quadratic equations ??

OpenStudy (ayonnaleflore):

ok so i dont know what to do then

rishavraj (rishavraj):

http://schools.aglasem.com/38975

OpenStudy (ayonnaleflore):

ok so a=1 b=14 c=46

rishavraj (rishavraj):

yup good work :)) see another way is to factorise it....bt wont be handy over here

OpenStudy (ayonnaleflore):

\[x=-14\sqrt{12}/2\]

rishavraj (rishavraj):

wht x ???

rishavraj (rishavraj):

see D is Discriminant = b^2 - 4ac

rishavraj (rishavraj):

@ayonnaleflore the error in ur equation is \[z = \frac{ -14 \pm \sqrt{12} }{ 2 }\]

rishavraj (rishavraj):

the equation I mentioned above is correct version

OpenStudy (ayonnaleflore):

so \[z=-7 \pm \sqrt{12}\]

rishavraj (rishavraj):

u can write \[\sqrt{12} = 2\sqrt{3}\]

rishavraj (rishavraj):

btw how can u write -7 without simplifying the root

OpenStudy (ayonnaleflore):

so \[z=-7\pm \sqrt{3}\]

rishavraj (rishavraj):

see it would be like \[z = \frac{ -14 \pm \sqrt{12} }{ 2 }\] \[z = \frac{ -14 \pm 2\sqrt{3} }{ 2 }\]

rishavraj (rishavraj):

now u can take 2 common in numerator ..so it would be \[z = \frac{ 2(-7 \pm \sqrt{3}) }{ 2 }\]

OpenStudy (ayonnaleflore):

so my answer would be A??

rishavraj (rishavraj):

and u can cancel 2 now....so it would be \[ z = -7 \pm \sqrt3\]

rishavraj (rishavraj):

@ayonnaleflore yeah :))

OpenStudy (ayonnaleflore):

ok thank you

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