Question

if x2+4xy+4y2+4x+cy+3 can be written as a product of two linear factors, then c=​

Answer 1

Answer:

C = 8

Step-by-step explanation:

For ax2+2hxy+by2+29x+2fy+c=0 to be written as linear factors

Δ=abc+2fgh−af2−bg2−ch2=0

⇒1(4)(3)+2(2)(2)(2c)−1(2c)2−4(2)2−3(2)2=0.

12+4c−4c2−16−12=0

4c2−4c+16=0

⇒c2−16c+64=0

⇒(c−8)2=0

⇒c=8