Question

यदि f(x) = 15x³ – 4x² + x + 10, x ∈ R हो, तो  का मूल्य ज्ञात करो ।

Answer 1

f(x) = 15x³– 4x² + x + 10 में x = 2 और 1 रखने पर

f(2) = 15 (2)³ – 4(2)² + 2 + 10

= 15 × 8 – 4 × 4 + 2 + 10

= 120 – 16 + 2 + 10

= 132 – 16

∴ f(2) = 116

f(1) = 15(1)³ – 4(1) + 1 + 10

= 15 × 1 – 4 + 1 + 10

= 15 – 4 + 1 + 10

= 26 – 4

∴ f(1) = 22

अब\(\frac{ f(2)}{f(1)}=\frac{116}{22}=\frac{58}{11}\)

∴\( \frac{f(2)}{f(1)}\) का मूल्य \(\frac{58}{11}\) होगा ।