Question

solve it with proper steps​

Answer 1

Answer :- m = -5 , n = 6

$\bf\huge\underline{\underline{ Given :- }}$

• Zeros of x² + mx + n = 3( zeros of 3x² - 5x +2 )

$\bf\huge\underline{\underline{ To \: Find:- }}$

• Values of m and n

$\bf\huge\underline{\underline{ Answer :- }}$

• 3x² - 5x + 2 = (x - 1 )×( 3x - 2)

• $\red{\implies} \bf\pink{Solutions = 1 , \frac{2}{3} }$

Given that Solution of first polynomial is three times the soultions now obtained

Solutions of first polynomial

• 1 × 3 = 3

• 2/3 × 3 = 2

• Solutions of first polynomial = 3 , 2

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• 1st Polynomial $\red{\implies}$ (x -3 )×(x - 2)

• $\red{\implies}$ x² - 5x + 6

Now equating both sides ,

x² + mx + n = x² -5x + 6

we get

• m $\red{\implies}$ -5

• n $\red{\implies}$ 6

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