Question

If the roots of x^2 – 2(7 + 3m)x + 55 m +45=0 are equal , them 'm' =​

Answer 1

refer to the attachment

Answer 2

The value of m is $\dfrac{4}{9}\ and\ 1$

Step-by-step explanation:

Since we have given that

$x^2-2(7+3m)x+55m+45=0$

Now, we have that root of above quadratic equation are equal.

so, it becomes,

$(14+6m)^2-4\times 1\times (55m+45)=0\\\\196+36m^2+168m-220m-180=0\\\\36m^2-52m+16=0\\\\9m^2-13m+4=0\\\\9m^2-9m-4m+4=0\\9m(m-1)-4(m-1)=0\\\\(9m-4)(m-1)=0\\\\m=\dfrac{4}{9},1$

Hence, the value of m is $\dfrac{4}{9}\ and\ 1$

# learn more:

If roots of the equation x2 - 2(1+3m)x-7(3+2m) =0 are equal ,then evaluate m .

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