Question

find the value of a and b in equation 2a^2 + 3b^2 = 35​

Answer 1

Answer:

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Step-by-step explanation:

Since 3b2=35–2a2 is odd and at most 35, b must be odd and b2<12. Thus, b=±1 or ±3.

If b=±1, then a=±4. If b=±3, then a=±2.

There are eight solutions (a,b), with a,b∈Z. ■