Question

if x is real find whether the values of(2x ^ 2 - 2x + 4)/(x ^ 2 - 4x + 3) whether the lies between - 7 <= 1​

Answer 1

Answer:

Take x^2+34x-71/x^2+2x-7=y

then by transposing denominator to other side and rearrànging

(y-1)x^2+(2y-34)x-7y+71=0

As x is real

D must be positive>=0

Applying b^2-4ac>=0

4y^2+1156–136x-4(y-1)(-7y+71)>=0

32y^2–448y+114y>=0

Y^2-14y+45>=0

(y-9)(y-5)>=0

Therefore y belongs to (-infinity, 5] U [ 9,infinity)

Answer 2

Step-by-step explanation:

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