Question

GIVE PROPER STEP BY STEP ANSWER PLEASE. ​

Answer 1

Hey frnd here is ur solution

Let two roots be x and y

Given x - y = 3
x-3= y......(1)

${x}^{3} - {y}^{3} = 189$
put the value of y in this equation

${x}^{3} - {(x - 3)}^{3} = 189 \\ {x}^{3} - ( {x}^{3} - 27 - 9 {x}^{2} + 27x) = 18 \\ {x}^{3} - {x}^{3} + 27 + 9 {x}^{2} - 27x = 189 \\ 9 {x}^{2} - 27x = 189 - 27 \\ 9( {x}^{2} - 3x) = 9(18) \\ {x}^{2} - 3x = 18 \\ {x}^{2} - 3x - 18 = 0 \\ {x}^{2} - 6x + 3x - 18 = 0 \\ x(x - 6) + 3(x - 6) = 0 \\ (x - 6)(x + 3) = 0 \\ x = 6 \: or - 3$
Hope it helps u

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