Question

if one root of x^2-4x+k=0 is 6 then find the value of k​

Answer 1

Step-by-step explanation:

x^2-4x+6=k(because 6 is one of its root)

• this is a quadratic equation
• so by formula
• we get
• (b+_under root b^2-4ac)/2
• [-4+_under root(-4)^2-4(1)(6)]/2
• (-4+_under root16-24)/2
• (-4+_under root-8)2

the roots are -4+under root -8/2

the roots are -4-under root -8/2