Question

what is the solution of the quadratic equation 2x² - 7x + 6 =0 ?​

Answer 1

Answer:

1

Step-by-step explanation:

the quadratic equation for the given question is b2_4ac =0

49-4×2×6

49-48

= 1

Answer 2

Question:

what is the solution of the quadratic equation 2x² - 7x + 6 =0 ?

Answer:

$x=2, \frac{3}{2}$

Explanation:

Given Equation is $2x^2-7x+6=0$

Now let us divide the middle term that is -7x

For easy factorisation you have to multiply the first term and the last term that is $2x^2$ and $6$

⇒$2x^2*6=12x^2$

⇒Now we have to find the factors of $12x^2$ that is

the factors of 12x^2 are

⇒$2x*6x$

⇒$3x*4x$

We can see that 3x+4x = 7x

We can also change the Symbols we will get $-3x-4x= -7x$

⇒$2x^2-3x-4x+6=0$

⇒$2x^2-4x-3x+6=0$

⇒$2x(x-2)-3(x-2)$

⇒$(x-2)(2x-3)$

⇒$x=2, 3/2$

Hence the value of the x is $x=2, \frac{3}{2}$