Question

If x - 2 is a root of the equation x^2 - 7x + 2a,then the value of a=

Answer 1

Step-by-step explanation:

x-2=0

x=2

put the value of x in given equation

x^2-7x+2a=0

(2)^2-7(2)+2a=0

4-14+2a=0

-10+2a=0

2a=10

a=10/2

a=5

Answer 2

Given

x-2 is the root of the equation x²-7x+2a

To find

we have to find the value of a

Solution

x-2 is the root so, the value of x will be

=>x-2=0

=> x=2

Therefore, x = 2 satisfies the given equation

Now, put x = 2 into the equation :

The given equation becomes :

x²-7x+2a=0

=> (2)²-7(2)+2a=0

=> 4-14+2a=0

=> -10+2a=0

=> 2a=10

a=5

Check:-

x²-7x+2a =0

=> (2)²-7(2)+2(5)

=> 4-14+10

=> -10+10=0

More information=>

The above equation is in the form of a quadratic equation having two distinct real roots.