GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
y = 4x^2 + 4x 8
[#permalink]
18 May 2022, 10:07
18 May 2022, 10:07
Expert Reply
1
Bookmarks
00:00
Question Stats:
56% (01:03) correct
43% (00:48) wrong based on 16 sessions
Hide Show timer Statistics
\(y = 4x^2 + 4x − 8\)
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
smaller root |
-2 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: y = 4x^2 + 4x 8
[#permalink]
20 May 2022, 10:28
20 May 2022, 10:28
Using the quadratic equation, we can find possible roots for y
y=1 or y=-2
smaller root is -2
Answer is (C)
y=1 or y=-2
smaller root is -2
Answer is (C)
y = 4x^2 + 4x 8
[#permalink]
14 Feb 2024, 23:03
14 Feb 2024, 23:03
1
to solve \(y=4x^2+4x-8\) look for two numbers that add up to \(+4\) which is the coefficient of the linear term and multiply to \(-32\) which is the product of the constant term and the coefficient of the quadratic term
The two numbers clearly are \(+8\) and \(-4\)
So we rewrite \(4x^2+4x-8=0\) as
\(4x^2+8x-4x-8=0 \)
\(2x(2x+4) -2(2x+4) =0\)
\((2x+4)(2x-2)=0\)
\(2x+4 = 0\)
\(2x=-4\)
\(x=-4/2\)
\(x=-2\)
\(2x-2 =0\)
\(2x = 2\)
\(x=2/2\)
\(x=1\)
The roots of the equation are \(-2\) and \(1\).
Quantity A = the Smaller root \(= -2\)
Quantity B \(= -2\)
BOTH quantities are EQUAL
The answer is C
The two numbers clearly are \(+8\) and \(-4\)
So we rewrite \(4x^2+4x-8=0\) as
\(4x^2+8x-4x-8=0 \)
\(2x(2x+4) -2(2x+4) =0\)
\((2x+4)(2x-2)=0\)
\(2x+4 = 0\)
\(2x=-4\)
\(x=-4/2\)
\(x=-2\)
\(2x-2 =0\)
\(2x = 2\)
\(x=2/2\)
\(x=1\)
The roots of the equation are \(-2\) and \(1\).
Quantity A = the Smaller root \(= -2\)
Quantity B \(= -2\)
BOTH quantities are EQUAL
The answer is C
