Question

find the root of quadratic equation 6 x square minus x minus 2 equal to zero

Answer 1

Given:

We have given an quadratic equation which is $6x^2-x-2=0$.

To Find:

We have to find the roots of the quadratic equation?

Step-by-step explanation:

An quadratic equation is given to us which is written as $6x^2-x-2=0$.

           The roots of the quadratic equation find as follows:

          $6x^2-x-2=0$

• First of all we will factorize the given quadratic equation by writing the middle term of quadratic equation as an addition form of multiple factor of constant term

       $6x^2-4x+3x-2=0$

• Now we will take the terms common from the first two terms and write it as also we will take the common terms from the last two terms

        $2x(3x-2)+1(3x-2)=0$

• Now we write the common terms out of the whole equation

        $(2x+1)(3x-2)=0$

• Now we equate both the terms with 0 and after that we simplify the equations

        $2x+1=0,3x-2=0$

• Now we simplify the equation one by one

        $2x+1=0\\2x=-1\\x=\frac{-1}{2}$

• Now we solve other equation

        $3x-2=0\\3x=2\\x=\frac{2}{3}$

Hence,the root of quadratic equations are $\frac{-1}{2} ,\frac{2}{3}$

Answer 2

Step-by-step explanation:

hope my answer is correct