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If R is a root of the equation X2 +3X – 54, than which of the following equations have also the root R ?

  • a)
    X2 – 12X +27

  • b)
    X2 – 6X – 16

  • c)
    X2 – 10X – 31.25

  • d)
    X2 – 15X + 54

  • e)
    X2 + 10X + 16

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If R is a root of the equation X2 +3X – 54, than which of the fo...
The best answer is D.

The original equation is X2 + 3X – 54, it can be written as (X – 6)(X + 9). The roots are 6 and (-9).

We are looking for an equation that has one of the same roots.

Answer D: X2 – 15X +54 = (X – 6)(X – 9) à This equation has the root 6.

All the other answers have different roots than the original equation
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If R is a root of the equation X2 +3X – 54, than which of the followingequations have also the root R ?a)X2 – 12X +27b)X2 – 6X – 16c)X2 – 10X – 31.25d)X2 – 15X + 54e)X2 + 10X + 16Correct answer is option 'D'. Can you explain this answer?
Question Description
If R is a root of the equation X2 +3X – 54, than which of the followingequations have also the root R ?a)X2 – 12X +27b)X2 – 6X – 16c)X2 – 10X – 31.25d)X2 – 15X + 54e)X2 + 10X + 16Correct answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If R is a root of the equation X2 +3X – 54, than which of the followingequations have also the root R ?a)X2 – 12X +27b)X2 – 6X – 16c)X2 – 10X – 31.25d)X2 – 15X + 54e)X2 + 10X + 16Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If R is a root of the equation X2 +3X – 54, than which of the followingequations have also the root R ?a)X2 – 12X +27b)X2 – 6X – 16c)X2 – 10X – 31.25d)X2 – 15X + 54e)X2 + 10X + 16Correct answer is option 'D'. Can you explain this answer?.
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