Question

If α and β are the roots of a quadratic equation 6x² - 7x + 2 = 0, then find a quadratic equation whose roots are 5α and 5β.​

Answer 1

Answer:

6x^2+7x+2=0

6x^2 +4x+3x+2=0

2x(3x+2)+1(3x+2)=0

(3x+2)(2x+1)=0

( 3x+2) ( 5x + 1 ) =0

x = -2/3 , -1/2

Answer 2

6x² + 7x + 2 = 0

6x² + 4x +3x + 2 = 0

2x(3x + 2) + 1(3x + 2) = 0

(3x + 2) (2x + 1) = 0

x = -⅔ , -½

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