What are the roots to
the equation
2x² + 6x-1=0?

The roots of  equations are as m =    And n =      

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots =

And products of roots =

So, m + n = = - 3

And m × n =  

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 ()

Or, (m - n)² = 9 + 2 = 11

I.e m - n =

Again m + n = - 3    And m - n =

Solving this two equation

(m + n) + ( m - n) = - 3 +

I.e 2 m =  - 3 +

Or, m =

Similarly n =        

Hence the roots of  equations are as m =    And n =        Answer

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)