Question

3x^2-5x+2 Complete the square

Answer 1

Answer:

quadratic equation of the given equation

Answer 2

Step-by-step explanation:

Given= 3x^2-5x+2

Here, coefficient of x^2 is 3 and it is not a perfect square.

I Therefore, multiplying the equation throughout by 3.

=>(3x^2-5x+2=0)×3.

=>9x^2-15+6=0

Now, half of the coefficient of x is 5/2. And b=5/2.

And b^2 is (5/2)^2

So now,

9x^2-15x+(5/2)^2-(5/2)^2+6=0

(3x)^2-15x+(5/2)^2=(5/2)^2-6

(3x-5/2)^2=25/4 -6=1/4

Taking square root on the both sides,

3x-5/2 = ±1/2.

3x=1/2+5/2. 3x = 5/2-1/2

3x=6/2 = 3. 3x =4/2 =2

x= 1. x=2/3.

I hope this is useful for you.