Question

solve the following

a) (x + 3) / (x - 2) = 7/2
b) (3x + 2) / (3x - 2) = 6​​

Answer 1

Answer:

Given, 3(x+2)−2(x−1)=7

⇒3x+6−2x+2=7

⇒x+8=7

Subtract 8 on both sides,

x+8−8=7−8

⇒x=−1

Answer 2

Answer:

Given: f(x)=3x2−7x−6

Which is of the from ax2+bx+c

⇒a=3,b=−7,c=−6

Now, α+β=−ab=3−(−7)

α+β=37....(1)

and αβ=ac=3−6

αβ=−2...(2)

(1) α2+β2=(α+β)2−2α+β

=(37)2−2(−2)     [ from (1) & (2)]$$

=949+4=949+36=985

α2β2=(αβ)2=(−2)2=4

 

The pohynomical whose roots are α