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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

First of all,we will find the roots of the given equation. 3x²-20x+17=0 ⇒3x²-3x-17x+17=0 ⇒3x(x-1)-17(x-1)=0 ⇒(3x-17)(x-1)=0 ⇒x=17/3 or x=1.

Now,roots of the unknown quadratic equation will be 3/17 and 1. As we all know that quadratic equation p(x)=x²-Sx+P = 0. {where S is the sum of the roots and P is the product of roots}

∴ S= 3/17 + 1 ∴ S= 20/7

And P= 3/17 × 1 ∴ P= 3/17

⇒Equation will be : x² - 20/17x + 3/17 = 0 On multiplying the whole equation by 17,we get the required equation; 17x² - 20x + 3 = 0 {If we do not multiply the equation by 17 on both sides,then also answer will be correct.}