|
|
GMAT 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.
03 Oct 2025, 09:55
Kudos
Bookmarks
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
66% (00:43) correct
33% (01:14) wrong based on 3 sessions
History
Date
Time
Result
Not Attempted Yet
Which of the following equations has no solutions for x?
A. \(x^2 + 8x = –17\)
B. \(x^2 + 8x = –13\)
C. \(x^2 + 8x = 0\)
D. \(x^2 + 8x = 1\)
E. \(x^2 + 8x = 16\)
A. \(x^2 + 8x = –17\)
B. \(x^2 + 8x = –13\)
C. \(x^2 + 8x = 0\)
D. \(x^2 + 8x = 1\)
E. \(x^2 + 8x = 16\)
04 Oct 2025, 05:40
Kudos
Bookmarks
Equations whose D<0 are the equations with no solutions for x
Let's check option A
x^2+8x+17 = 0
D = b^2 - 4ac = 8^2 - 4*1*17 = 64-68 = -4
Hence D<0 for this equation
only option A satisfies this condition
Therefore, A
Let's check option A
x^2+8x+17 = 0
D = b^2 - 4ac = 8^2 - 4*1*17 = 64-68 = -4
Hence D<0 for this equation
only option A satisfies this condition
Therefore, A
Updated on: 05 Oct 2025, 02:19
Originally posted by Sajjad1994 on 05 Oct 2025, 02:17.
Last edited by Sajjad1994 on 05 Oct 2025, 02:19, edited 1 time in total.
Last edited by Sajjad1994 on 05 Oct 2025, 02:19, edited 1 time in total.
Kudos
Bookmarks
Official Explanation
For each answer choice, get zero on one side first. For example, (A) becomes \(x^2 + 8x + 17 =0.\) You can determine the number of real solutions by considering the discriminant, \(b^2 – 4ac\), from the Quadratic Formula. Here, a = 1, b = 8, and c = 17. Then \(b^2 – 4ac = 8^2 – 4 × 1 × 17 = 64– 68 = –4. \) When the discriminant is negative, there are no solutions, since it is not possible to take the square root of a negative number within the real number system. (The discriminant appears under the radical sign in the Quadratic Formula:
Only (A) makes \(b^2 –4ac\) negative.
Answer: A
GMAT-Club-Forum-jcfzm32e.png [ 8.27 KiB | Viewed 101 times ]
For each answer choice, get zero on one side first. For example, (A) becomes \(x^2 + 8x + 17 =0.\) You can determine the number of real solutions by considering the discriminant, \(b^2 – 4ac\), from the Quadratic Formula. Here, a = 1, b = 8, and c = 17. Then \(b^2 – 4ac = 8^2 – 4 × 1 × 17 = 64– 68 = –4. \) When the discriminant is negative, there are no solutions, since it is not possible to take the square root of a negative number within the real number system. (The discriminant appears under the radical sign in the Quadratic Formula:
Only (A) makes \(b^2 –4ac\) negative.
Answer: A
Attachment:
GMAT-Club-Forum-jcfzm32e.png [ 8.27 KiB | Viewed 101 times ]
