If a + b = 7 and ab = 12, then 1/a² + 1/b² equals:

Question

Accepted Answer

25/144. 1/a² + 1/b² = (a² + b²)/(ab)². Here a² + b² = (a + b)² − 2ab = 49 − 24 = 25 and (ab)² = 144, so the value is 25/144. (With a = 3 and b = 4: 1/9 + 1/16 = 25/144.)

If $a + b = 7$ and $ab = 12$ , then $1/ a^{2} + 1/ b^{2}$ equals:

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If a+b=7 and ab=12, then 1/a2+1/b2 equals:

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Algebra practice

If $a + b = 7$ and $ab = 12$ , then $1/ a^{2} + 1/ b^{2}$ equals: