What is the first step in solving a quadratic equation of the form given below?
(ax + b)2 = c
A. Divide both sides by c
B. Use the zero product rule
C. Factor out a common factor
D. Take the square root of both sides
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OpenStudy (anonymous):
Any idea?
OpenStudy (anonymous):
not really
OpenStudy (anonymous):
\[c = (ax+b)^2\] just curious what are we solving for :o
OpenStudy (anonymous):
But anyways, take a stab at this, think for a bit what you would do to isolate x I guess, first step?
OpenStudy (anonymous):
A or C?
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OpenStudy (anonymous):
Good guess, so you know for sure we can eliminate B and C, they might work in a parallel universe with different algebra rules haha.
Also, solving for quadratic equation here they mean = 0 or solving for x?
OpenStudy (anonymous):
Well it seems reasonable to solve for x, so can we eliminate anything else?
OpenStudy (anonymous):
so A?
OpenStudy (anonymous):
What would make the "squareroot" on the left side = 1, using exponents
OpenStudy (anonymous):
Mhm not quite
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OpenStudy (anonymous):
i meant eliminate A
OpenStudy (anonymous):
\[c = (ax+b)^2 \implies \sqrt{c} = \sqrt{(ax+b)^2} \implies \sqrt{c} = (ax+b)^{2/2} \implies \sqrt{c} = (ax+b)\] phew I need some sleep
OpenStudy (anonymous):
Yes, so our answer is D
OpenStudy (anonymous):
thank you
OpenStudy (anonymous):
no it was right lol thank you
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OpenStudy (anonymous):
Oh ok lol, ignore this than, the wording confused me!