The steps to derive the quadratic formula are shown below: Step 1: ax2 + bx + c = 0 Step 2: x2 + b over ax + c over a = 0 Step 3: x2 + b over a x = - c over a Step 4: x2 +b over a x + square of quantity of b over 2 times a = -c over a + square of quantity of b over 2 times a Step 5: x plus b over 2 times a, all squared = -c over a + square of quantity of b over 2 times a Step 6: x + b over 2 times a = square root of all of negative c over a plus the square of the quantity b over 2 times a Step 7: x = - b over 2 times a ± square root of all of negative c over a plus the square of
Step 7: x = - b over 2 times a ± square root of all of negative c over a plus the square of the quantity b over 4 times a = -b over 2 times a ± square root of the quantity of b squared minus 4 times a times c over 4 times a squared= negative b plus or minus square root of b squared minus 4 times a times c over 2 times a Which of the following statements best describes the first incorrect step? In Step 4, square of quantity of b over 2 times a instead of b over 2 times a was added on both sides. In Step 5, x plus b over 2 times a, all squared was written instead of x plus b over 4 times a, all squared . In Step 6, -c over a was written instead of c over a inside the root. In Step 7, b over 4 times a, all squared was written instead of square of quantity of b over 2 times a inside the root.
I believe step 4 and 5 are right but i dont know about 6 and 7
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sorry I cant give you the answer otherwise I will get banned and we don't want this to happen
can you help?
@graffiboy1
the quadratic formula is
\[x=\frac{ -b \pm \sqrt{b ^{2}-4ac} }{ 2a }\]
okay
\[ax ^{2}+bx+c=0\]
\[x=\frac{ -1 \pm \sqrt{1^{2}-4(1)(1)} }{ 2(1) }\]
\[x=\frac{ -1 \pm \sqrt{1-4} }{ 2 }\]
\[x=\frac{ -1 \pm \sqrt{-3} }{ 2 }\]
\[x=\frac{ \pm \sqrt{-4} }{ 2 }\]
\[x=\frac{ \pm 2 }{ 2 }\]
\[x=\pm1\]
are you sure bc you cant add -1 and \[\sqrt{-3}\]
@phi can you explain this?
owl-lover, your post is hard to read when typed out in words.
@owl-lover
oh sorry
is step 7 the answer? here:\[\frac{ -b }{ 2a }\pm \sqrt{\frac{ -c }{ a }+(\frac{ b }{ 4a })^2}=\frac{ -b }{ 2a }\]
but the last step might be the one with an error
nvm this is really hard thats not all of 7
can you screenshot the question
the (b/4a)^2 in step 7 should read (b/2a)^2
not sure how
and yes thats what i was thinking
its not working but i think i got it could you help with another
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