This is not a legitimate GMAT question. The GMAT does not test your knowledge of the equations of circles and parabolas in the way that an Algebra 2 or pre-Calculus class might.
Having said that, the way to solve:
Solve the second equation for x^2 ... x^2 = y+3
Plug that into the first equation: y + 3 + y^2 = 4
y^2 + y - 1 = 0
If you use the quadratic formula (which you never really need to do on the GMAT) you will get 2 solutions for y. (-1 +- root(5))/2
Each of those 2 solutions for y will have 2 corresponding x values, one positive and the other negative, for a total of 4 solutions.
circles
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gmatboost
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bblast
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Hi,
From the interface it looks like powerprep.
For the question at hand.
y = (x + root 3)(x - root 3)
1>draw a circle with radius = 2
2>Draw a parabola which cuts x axis at root 3 and -root 3(slightly less than 2). This parabola will cut the Y axis at -3 (put x =0 in given equation).
therefore if u draw properly, you will see that the cicle and parabola intersect at 4 points.
From the interface it looks like powerprep.
For the question at hand.
y = (x + root 3)(x - root 3)
1>draw a circle with radius = 2
2>Draw a parabola which cuts x axis at root 3 and -root 3(slightly less than 2). This parabola will cut the Y axis at -3 (put x =0 in given equation).
therefore if u draw properly, you will see that the cicle and parabola intersect at 4 points.
Cheers !!
Quant 47-Striving for 50
Verbal 34-Striving for 40
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Quant 47-Striving for 50
Verbal 34-Striving for 40
My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_
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gmatboost
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It does look like PowerPrep, but I still believe this question would not currently appear on the GMAT, since there are no questions in GMAT Prep or in the OG (that I am aware of) that test your knowledge of the equation of a circle in the coordinate plane.
Even questions about parabolas tend not to require much knowledge about the properties of the graph of a parabola (e.g. how to find the vertex, etc.). Of course, you should be able to find the solutions to an equation like y = x^2 - 3.
Even questions about parabolas tend not to require much knowledge about the properties of the graph of a parabola (e.g. how to find the vertex, etc.). Of course, you should be able to find the solutions to an equation like y = x^2 - 3.
Greg Michnikov, Founder of GMAT Boost
GMAT Boost offers 250+ challenging GMAT Math practice questions, each with a thorough video explanation, and 100+ GMAT Math video tips, each 90 seconds or less.
It's a total of 20+ hours of expert instruction for an introductory price of just $10.
View sample questions and tips without signing up, or sign up now for full access.
Also, check out the most useful GMAT Math blog on the internet here.
GMAT Boost offers 250+ challenging GMAT Math practice questions, each with a thorough video explanation, and 100+ GMAT Math video tips, each 90 seconds or less.
It's a total of 20+ hours of expert instruction for an introductory price of just $10.
View sample questions and tips without signing up, or sign up now for full access.
Also, check out the most useful GMAT Math blog on the internet here.
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bblast
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yup, agreed greg, but the OG does mention circles as within syllabus, i dont know whether equation of a circle is ever tested, however the basic equation's knowledge is too easy to be forgotten.
Cheers !!
Quant 47-Striving for 50
Verbal 34-Striving for 40
My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_
Quant 47-Striving for 50
Verbal 34-Striving for 40
My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_
