3x^2+bx+24=0 if one of its root is 3

Other root of equation,

Value of (),

Step-by-step explanation:

The given quadratic equation is in standard form. Standard form is the basic format of representing a quadratic equation, a quadratic equation in standard form would use the following format,

To solve this problem, one could use Vieta's theorems. Vieta's theorems state the following, let () and () represent the roots of the equation,

Substitute the given values into the equation,

Simplify,

Inverse operations,

Substitute in the value of (),

Simplify, convert to improper fractions and combine like terms,

Multiply both sides of the equation by () to remove the denominator,

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )