Question

Q.
If x² + 4x = y then show that 2√y - 10 = 5
​

Answer 1

Answer: hope this helps u please mark me as brainiliest

y=10/(2x+1)-2 intersect the x axis hence

y=0 so, 0=10/(2x+1)-2

5=2x+1

x=2

so point A (2,0)

now

differentiate y=10/(2x+1)-2 w.r.t x

dy/dx= -10/(2x+1)^2.2=-20/(2x+1)^2

slope at ( 2,0)=-20/(5)^2=-4/5

now equation of line AC

(y-0)=-4/5 (x-2)

5y+4x=8

now point C find

because C is at y axis so x=0

put this in equation then y =8/5

so C (0,8/5)

now distance b/w AC=root {(2)^2+(8/5)^2}