Question

2m^-5m=0 ,m= 2, 2/5​

Answer 1

If we put 2 then we get

-2=0

If we put 2/5 then we get

-42/25=0

No one is accurate.....

Answer 2

Correct Question:

Determine whether the values given against the following quadratic equation are the roots of the quadratic equation or not.

2m² - 5m = 0, m = 2, 5 / 2

Answer:

2 is not the root of given quadratic equation ; 5 / 2 is the root of given quadratic equation.

Step-by-step-explanation:

Given quadratic equation is 2m² - 5m = 0.

Also, m = 2 & m = 2 / 5

Now, substitute m = 2, in given equation,

LHS = 2 ( 2 )² - 5 ( 2 )

∴ LHS = 2 ( 4 ) - 10

∴ LHS = 8 - 10

∴ LHS = - 2 ≠ RHS

∴ m = 2 is not the root of the given quadratic equation.

Now, substitute m = 2 / 5, in given equation,

LHS = 2 ( 5 / 2 )² - 5 ( 5 / 2 )

∴ LHS = 2 ( 25 / 4 ) - 25 / 2

∴ LHS = 25 / 2 - 25 / 2

∴ LHS = 0 = RHS

∴ m = 5 / 2 is the root of the given quadratic equation.

Additional Information:

1. Quadratic Equation :

An equation having a degree '2' is called quadratic equation.

The general form of quadratic equation is

ax² + bx + c = 0

Where, a, b, c are real numbers and a ≠ 0.

2. Roots of Quadratic Equation:

The roots means nothing but the value of the variable given in the equation.

3. Determininig the roots of the quadratic equation :

To determine the roots of the given quadratic equation, simply substitute the given values in place of the variable used and solve it.

If LHS = RHS then the given value is root of the given equation otherwise it's not the solution.