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If 2a 2 + b = 10 and C (b/4 + 3a) = 11, what is the positive value of a?
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If 2a 2 + b = 10 and C (b/4 + 3a) = 11, what is the positive value of a?
Answer: 3
Explanation:
Solve 2 a 2 + b = 10 for b : b = 10 C 2 a 2 .
Substitute (10 C 2 a 2 ) for b in the second equation and solve for a :
C10 + 2 a 2 + 12 a = 44
2 a 2 + 12 a C 54 = 0
2 a C 6 = 0, a = 3
a + 9 = 0, a = C9
The positive value of a is 3.
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