Question

if 2a+3b=18 and ab=5 find the value of 4a2+9b2
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Answer 1

Given:

2a + 3b = 8

ab = 5

Formula used:

(x + y)2 = x2 + y2 + 2xy

Calculations:

Squaring the given equation,

⇒ (2a + 3b)2 = 64

⇒ 4a2 + 9b2 + 12ab = 64

Substituting the value of ab,

⇒ 4a2 + 9b2 + (12 × 5) = 64

⇒ 4a2 + 9b2 = 64 – 60 = 4

∴ The value of 4a2 + 9b2 is 4

Answer 2

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