Question

In finding the roots of the quadratic equation 6x2 − x − 2 = 0 by the method of factorisation, the middle term ‘−x’ can be written asv. ​

Answer 1

Step-by-step explanation:

The roots of any quadratic equation is given by: x = [-b +/- sqrt(-b^2 - 4ac)]/2a. Write down the quadratic in the form of ax^2 + bx + c = 0. If the equation is in the form y = ax^2 + bx +c, simply replace the y with 0. This is done because the roots of the equation are the values where the y axis is equal to 0.25

Answer 2

Answer:

●Given: -

The quadratic equation 6x^2-x-2=0.

■To find :-

The root of the quadratic equation 6x^2-x-2=0

■Proof :-

6x^-x-2=0.

=6x^2-4x+3x-2=0

=2x (3x-2) +1 (3x-2)

=(2x+1)(3x-2)=0

=3x-2=0 or 2x+1=0

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

Therefore,

x=2/3 and x=-1/2.

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