Question

for what values of x the x^2-7x+10 expressions are negative​

Answer 1

Answer:

x^2 -7x +10 < 0

x^2 -5x -2x +10< 0

x(x-5)-2(x-5)<0

x-2<0

x-5<0

I.e x<2 or x<5

so for all values of x less than 5 expression will be -ve

Answer 2

Answer:

x^2 - 7x + 10 < 0 = x^2 - 5x - 2x + 10 < 0 = x ( x - 5 ) - 2 ( x - 5 ) < 0

x - 2 < 0 or x - 5 < 0

x < 2 or x < 5

So , for all values of x Less than 5 expression will be - ve