Question

If m X m = m, and m is not equal to zero, then what is the value of m? Write your answer as a number.

Answer 1

Answer:

The value of m are 51 and 3.

Step-by-step explanation:

Given : If the following equation has equal roots (m-2)x^2-(5+m)x+16(m−2)x

2

−(5+m)x+16 .

To find : The value of m ?

Solution :

The quadratic equation ax^2+bx+c=0ax

2

+bx+c=0 roots are equal when the discriminant is zero.

i.e. b^2-4ac=0b

2

−4ac=0

On comparing, a=m-2, b=-(5+m) and c=16

Substitute the value,

(-(5+m))^2-4(m-2)(16)=0(−(5+m))

2

−4(m−2)(16)=0

25+m^2+10m-64m+128=025+m

2

+10m−64m+128=0

m^2-54m+153=0m

2

−54m+153=0

m^2-51m-3m+153=0m

2

−51m−3m+153=0

m(m-51)-3(m-51)=0m(m−51)−3(m−51)=0

(m-51)(m-3)=0(m−51)(m−3)=0

m=51,3m=51,3

Therefore, the value of m are 51 and 3.

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

$\Large{\mathsf{\green{m×m \Rightarrow m} \: \: \: (m≠0) }}$

$\Large{\mathsf{1×1 \Rightarrow 1}}$

$\Large{\boxed{\mathsf{m\Rightarrow 1}}}$