Question

Determine whether x = (-1/2) is the solution of the given equation 6x²-x-2=0, or not. ​

Answer 1

Answer:

Yes , x= (-1/2) is a solution of the given equation 6x²-x-2= 0

Go through the image for explanation

Answer 2

Answer:

$x=-1/2$ is a solution of the quadratic equation $6x^{2} -x-2=0$ .

Step-by-step explanation:

The given equation is a quadratic equation with $a=6,\ b=-1,\ c=-2$ , in the general form $ax^{2} +bx+c=0$ . And this equation is said to be quadratic since it contains the term of $x^{2}$ .

For a quadratic equation , there are two solutions. That is there are two values for $x$ ,which is called the roots of the equation.

Here given $x=-1/2$ , and we are asked to check whether it is a solution of the quadratic equation or not.

In order to check whether it is a solution or not, put $x=-1/2$ in the quadratic equation.

Therefore       $6x^{2} -x-2=0$

  ⇒    $6((\frac{-1}{2})^{2} )-(\frac{-1}{2} )-2=6*\frac{1}{4}+\frac{1}{2} -2$

                                          $=\frac{6}{4} +\frac{1}{2} -2\\\\=2-2=0$.

Hence it is verified that $x=\frac{-1}{2}$ is a solution of the given quadratic equation.

Thus the answer.

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