The value of 'm' for which the equation (1+m) x²-2(1+3m) x +(1+8m) =0 has equal roots, is Х

We know –

Question's given –

The equation (1+m) x²-2(1+3m) x +(1+8m) =0 has equal roots.That means, Δ Discriminant is 0.(D= b²-4ac)

According to the question –

Now, Δ Discriminant = 0

↠{-2(1+3m)}² -4 × (1+m) ×(1+8m)=0

↠4(1+3m)² - 4 (1+m)(1+8m) = 0

↠4(1+ 9m² + 6m - 1 -8m - m -8m²) =0

↠4 (1+ 9m² + 6m - 1 -9m -8m²)=0

↠m²-3m =0

↠m(m-3) = 0

↠m =0,3

the monthly balance will be $75,000

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.