Question

3x -1 / 15 + 2x +1 / 8 = x -1 / 30 - x/4​

Answer 1

Answer:

(2x+1).(3x+1).(5x+1).(30x+1)=10

or. {(2x+1).(30x+1)}.{(3x+1).(5x+1)}=10

or. (60x^2+32x+1).(15x^2+8x+1)=10

or. {4(15x^2+8x)+1}.(15x^2+8x+1)=10

Let 15x^2+8x=p

or. (4p+1).(p+1)=10

or. 4p^2+5p+1–10=0

or. 4p^2+5p-9=0

or. 4p^2+9p-4p-9=0

or. p(4p+9)-1(4p+9)=0

or. (4p+9).(p-1)=0

or. p= -9/4 , 1

Putting p=-9/4.

or. 15x^2+8x=-9/4

or. 60x^2+32x+9=0. , here. a=60 , b= 32 , c= 9.

D=(32)^2–4×60×9=1024 -2160 = negative. (roots are not real)

Putting p=1

15x^2+8x-1=0. , here a=15 , b= 8 and c=-1.

D= (8)^2–4×15×(-1)= 64+60=124 = positive ,(roots are real)

Thus , product of real solutions= c/a = -1/15. Answer.

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Step-by-step explanation:

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Answer 2

Factorise 60x+y^50-z^2-6xy+200yz-56zx