Mathematics
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OpenStudy (ayonnaleflore):
Solve (z+ 7)2 = 3.
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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??
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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
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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):
\[x=-14\sqrt{12}/2\]
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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 \[z=-7 \pm \sqrt{12}\]
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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
\[z = \frac{ 2(-7 \pm \sqrt{3}) }{ 2 }\]
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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