Math, asked by aviluriharshini, 5 months ago

Find the equation whose roots are less by3,than those 3x^2-7x+6=0

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Answers

Answered by XxItzAnvayaXx
2

Given :-

equation is f(x) = x3 + 3x2 – 7x + 6 = 0

Required equation :-

is f(√x) = 0

⇒ x√x + 3x – 7√x + 6 = 0

⇒ √x(x – 7) = – (3x + 6)

Squaring on both sides,

⇒ x(x – 7)2 = (3x + 6)2

⇒ x(x2 – 14x + 49) = 9x2 + 36 +36x

⇒ x3 – 14x2 + 49x – 9x2 – 36x – 36 = 0

i.e. x3 – 23x2 + 13x – 36 = 0

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Answered by Anonymous
0

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