Question

solve the equation 3x4 40x3+130 x²_180 x 27 whose roots are in given
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Answer 1

Answer:

Question



The quadratic equation whose roots are three times the roots of the equation 2x2+3x+5=0, is

A

2x2+9x+45=0

B

2x2+9x−45=0

C

5x2+9x+45=0

D

2x2−9x+45=0

E

2x2+9x+49=0

Medium

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Solution



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Correct option is

C

5x2+9x+45=0

Let the roots of the given equation 2x2+3x+5=0 be α and β.

Then, α+β=−23 and αβ=25

Let the roots of required equation be α′and β′.

It is given that,

α′=3α and β′=3β

Now, α