
Kindly help me with example 8 thanks
Kindly help me with example 8 thanks
I see you have already gotten the answer on your paper.
Firstly, you know that:
b2 – 4ac > 0
If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots.
m(x2 – 3x + 2 ) = x2 -4x + 4
mx2 -3mx + 2m = x2 -4x + 4
(m-1)x2 -(3m-4)x + (2m-4) = 0
b2 – 4ac > 0 for 2 real and distinct roots
=> [-(3m-4)]2 – 4(m-1)(2m-4) > 0
9m2 -24m + 16 – 4(2m2 – 6m + 4) > 0
9m2 -24m + 16 – 8m2 + 24m – 16 > 0
m2 > 0 => m is non-zero and real numbers(includes rational and irrational, positive and negative, see the above chart for a comprehensive definition of real numbers)
I see you have already gotten the answer on your paper.
Firstly, you know that:
b2 – 4ac > 0
If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots.
m(x2 – 3x + 2 ) = x2 -4x + 4
mx2 -3mx + 2m = x2 -4x + 4
(m-1)x2 -(3m-4)x + (2m-4) = 0
b2 – 4ac > 0 for 2 real and distinct roots
=> [-(3m-4)]2 – 4(m-1)(2m-4) > 0
9m2 -24m + 16 – 4(2m2 – 6m + 4) > 0
9m2 -24m + 16 – 8m2 + 24m – 16 > 0
m2 > 0 => m is non-zero and real numbers(includes rational and irrational, positive and negative, see the above chart for a comprehensive definition of real numbers)
Thanks for your help as i am not sure whether my explanation is correct.
Could you please click on “Accept Answer”?