Question

plz solve this question​

Answer 1

⠀⠀ || ✪ ϙᴜᴇsᴛɪᴏɴ ✪ ||

If m and n are the zeroes of the polynomial 3t² + 11t -4 , then find the value of n/n + n/m ?

|| ✪ Solution ✪ ||

Given

• Equation , 3t² +11t -4 = 0
• m and n are two zeroes

Find

• value of m/n + n/m = ?

Explanation

★ Sum of zeroes = -(Coefficient of t )/(coefficient of t²)

➥ ( m + n ) = -11/3 .....[ Equ(1)]

★ product of zeroes = (Constant part)/(Coefficient of t²)

➥ mn = -4/3 ........[ equ(2)]

We Know,

• (a+b)² = a² +b²+2ab

➥ (m+n)² = m² + n² + 2mn

[ Keep values by (1) and (2) ]

➥ (-11/3)² = m² + n² + 2×(-4/3)

➥ m² + n² = 121/9 + 8/3

➥ m² + n² = (121+24)/9

➥ m² + n² = 145/9. ........[equ(3)]

Calculate,

➥ m/n + n/m

➥ (m²+n²)/mn

[ Keep values by (2) and (3) ]

➥ [(145)/9]/(-4/3)

➥ [ (145/9) × ( -3/4) ]

➥ [ (145/3) × -1/4 ]

➥ - 145/12 [ Ans]

_____________________