Question

Find the value of ‘m’ in the quadratic equation for which the roots are real and equal: x 2 + (m – 3) x + m = 0

Answer 1

Answer:

[9,∞)

Step-by-step explanation:

f(x)=x

2

−(m−3)x+m=0,mϵR

△=(m−3)

2

−4m≥0 (∵ at least one root)

m

2

−10m+9≥0

∴mϵ(−∞,1]⋃[9,∞)

For m<1, both roots are always <2

For example, m=0

x

2

+3x,x=0,−3 (Both are <2)

∴For m ϵ[9,∞] at least one root is greater than 2.