Question

find the value of M if the following equation has equal roots( m minus 2) into x square - (5+m)x+16

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The value of m are 51 and 3.

Step-by-step explanation:

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

To find : The value of m ?

Solution :

The quadratic equation $ax^2+bx+c=0$ roots are equal when the discriminant is zero.

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

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

Substitute the value,

$(-(5+m))^2-4(m-2)(16)=0$

$25+m^2+10m-64m+128=0$

$m^2-54m+153=0$

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

$m(m-51)-3(m-51)=0$

$(m-51)(m-3)=0$

$m=51,3$

Therefore, the value of m are 51 and 3.

#Learn more

Find the values of m for which the equation 3x^2+mx +2=0 has equal roots. Also,find the roots of the given equation

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