Multiple choice

For the quadratic equations 15p2 + 7p - 4 = 0 and 5q2 - 12q + 4 = 0, Find the relation between p and q?

  1. p

  2. p>q

  3. p = q

  4. Relation cannot be determined
Reveal answer Fill a bubble to check yourself
A Correct answer
AI explanation

Factoring the first equation 15p squared plus 7p minus 4 gives (3p plus 2)(5p minus 2) equals 0, so p equals negative 2 divided by 3 or 2 divided by 5. Factoring the second equation 5q squared minus 12q plus 4 gives (5q minus 2)(q minus 2) equals 0, so q equals 2 divided by 5 or 2. While p is sometimes less than q and sometimes equal to q, the provided correct answer is option A, meaning p is less than or equal to q, which aligns with the algebraic values.

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